Research Papers

    [161] Refining the general comparison theorem for the Klein-Gordon equation in d dimensions  [pdf, ps]
    Richard L. Hall and Hassan Harb
    Int. J. Mod. Phys. E (2021 In Press).
    [160] General comparison theorems for the Klein-Gordon equation in d dimensions  [pdf, ps]
    Richard L. Hall and Hassan Harb
    Eur. Phys. J. Plus 134, 449 (2019).
    [159] Potential envelope theory and the local energy theorem  [pdf, ps]
    Ryan Gibara and Richard L. Hall
    J. Math. Phys. 60, 062103 (2019).
    [158] Exact normalized eigenfunctions for general deformed Hulthén potentials  [pdf, ps]
    Richard L. Hall, Nasser Saad, and K. D. Sen
    J. Math. Phys. 59, 122103 (2018).
    [157] The d-dimensional soft core Coulomb potential and the Generalized confluent Heun equation  [pdf, ps]
    Richard L. Hall, Nasser Saad, and Kyle R. Bryenton
    J. Math. Phys. 59, 102105 (2018).
    [156] Exact and approximate solutions of Schrödinger's equation with hyperbolic double-well potentials.  [pdf, ps]
    Richard L. Hall and Nasser Saad
    Eur. Phys. J. Plus 131 (2016) 277.
    [155] Refined comparison theorems for the Dirac equation with spin and pseudo-spin symmetry in d dimensions  [pdf, ps]
    Richard L. Hall and Petr Zorin
    Eur. Phys. J. Plus 131, (2016) 102.
    [154] Sharp comparison theorems for the Klein-Gordon equation in d dimensions  [pdf, ps]
    Richard L. Hall and Petr Zorin.
    Int. J. Mod. Phys. E 25 (2016) 1650039.
    [153] Refined comparison theorems for the Dirac equation in d dimensions  [pdf, ps]
    Richard L. Hall and Petr Zorin
    Ann. Phys. (Berlin) 527, 408-422 (2015).
    [152] Soft and hard confinement of a two-electron quantum system  [pdf, ps]
    Richard L. Hall, Nasser Saad, and K. D. Sen
    Eur. Phys. J. Plus 129, (2014) 274.
    [151] Schödinger models for solutions of the Bethe-Salpeter equation in Minkowski space. II. Fermionic bound-state constituents.  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    Phys. Rev. D 90 065012 (2014)
    [150] Schroedinger spectrum generated by the Cornell potential  [pdf, ps]
    Richard L. Hall and Nasser Saad
    Open Phys. 13, 81 - 87 (2015).
    [149] Spectra generated by a confined softcore Coulomb potential  [pdf, ps]
    Richard L. Hall and Nasser Saad
    J. Math. Phys. 55 082102 (2014).
    [148] Polynomial solutions for a class of second-order linear differential equations  [pdf, ps]
    Nasser Saad, Richard L. Hall, and Victoria A. Trenton
    Appl. Math. Comput. 226, 615-634 (2014).
    [147] Nodal theorems for the Dirac equation in d ≥ 1 dimensions  [pdf, ps]
    Richard L. Hall and Petr Zorin
    Ann. Phys. (Berlin) 526, 79 - 86 (2014).
    [146] Wide effectiveness of a sine basis for quantum-mechanical problems in d dimensions  [pdf, ps]
    Richard L. Hall and Alexandra Lemus Rodríguez
    Adv. Math. Phys. 2013 (2013) 258203.
    [145] Exact and approximate solutions of Schrödinger's equation for a class of trigonometric potentials  [pdf, ps]
    Hakan Çiftçi, Richard L. Hall, and Nasser Saad
    Cent. Eur. J. Phys. 11, 37 - 48 (2013).
    [144] Schrödinger models for solutions of the Bethe-Salpeter equation in Minkowski space  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    Phys. Rev. D 85 (2012) 125006.
    [143] Dirac eigenvalues for a softcore Coulomb potential in d dimensions  [pdf, ps]
    Richard L. Hall and Petr Zorin
    J. Phys. A: Math. Theor. 45 (2012) 115303.
    [142] Geometric spectral inversion for singular potentials  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    J. Math. Phys. 52 (2011) 112102.
    [141] Discrete spectra for confined and unconfined -a/r + br2 potentials in d dimensions  [pdf, ps]
    Richard L. Hall, Nasser Saad, and K. D. Sen
    J. Math. Phys. 52 (2011) 092103.
    [140] Geometric spectral inversion  [pdf, ps]
    Richard L. Hall
    13th Regional Conference on Mathematical Physics, October 27 - 31, 2010, Antalya, Turkey.
    [139] Study of the generalized quantum isotonic nonlinear oscillator potential  [pdf, ps]
    Nasser Saad, Richard L. Hall, Hakan Çiftçi, and Özlem Yeşiltaş
    Adv. Math. Phys. 2011 (2011) 750168.
    [138] Spectral characteristics for a spherically confined -a/r + br2 potential  [pdf, ps]
    Richard L. Hall, Nasser Saad, and K. D. Sen
    J. Phys. A:Math. Theor. 44 (2011) 185307.
    [137] Generalized quantum isotonic potential in d dimensions  [pdf, ps]
    Richard L. Hall, Nasser Saad, and Özlem Yeşiltaş
    J. Phys. A:Math. Theor. 43 (2010) 465304.
    [136] Physical applications of second-order linear differential equations that admit polynomial solutions  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, Nasser Saad, and Ebubekir Dogu.
    J. Phys. A: Math. Theor. 43, 415206 (2010).
    [135] Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions  [pdf, ps]
    Richard L. Hall and Özlem Yeşiltaş
    Int. J. Mod. Phys. E 19, 1923 - 1934 (2010).
    [134] Relativistic comparison theorems  [pdf, ps]
    Richard L. Hall
    Phys. Rev. A 81, 052101 (2010).
    [133] Comparison theorems for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions  [pdf, ps]
    Richard L. Hall and Özlem Yeşiltaş
    J. Phys. A: Math. Theor. 43 (2010) 195303.
    [132] Soft-core Coulomb potentials and Heun's differential equation  [pdf, ps]
    Richard L. Hall, Nasser Saad, and K. D. Sen
    J. Math. Phys. 51, 022107 (2010).
    [131] Semirelativistic N-boson systems bound by attractive pair potentials  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    J. Phys. A: Math. Theor. 42, 395303 (2009).
    [130] Energies and wavefunctions for a soft-core Coulomb potential  [pdf, ps]
    Richard L. Hall, Nasser Saad, K. D. Sen, and Hakan Ciftci
    Phys. Rev. A 80, 032507 (2009).
    [129] Klein-Gordon lower bounds to semirelativistic ground-state energies  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    Phys. Lett. A 374, 1980 - 1984 (2010).
    [128] Comparison theorems for the Klein-Gordon equation in d dimensions  [pdf, ps]
    Richard L. Hall and M. D. Aliyu
    Phys. Rev. A 78, 052115 (2008).
    [127] Special comparison theorem for the Dirac equation  [pdf, ps]
    Richard L. Hall
    Phys. Rev. Lett. 101, 090401 (2008).
    [126] Study of a confined Hydrogen-like atom by the Asymptotic Iteration Method  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Int. J. Quant. Chem. 109, 931 - 937 (2009).
    [125] Asymptotic Iteration Method for singular potentials  [pdf, ps]
    Brodie Champion, Richard L. Hall, and Nasser Saad
    Int. J. Mod. Phys. A 23, 1405 - 1415 (2008)
    [124] The Klein-Gordon equation with the Kratzer potential in d dimensions  [pdf, ps]
    Nasser Saad, Richard L. Hall, and Hakan Ciftci
    Cent. Eur. J. Phys. 6, 717 - 729 (2008)
    [123] Solutions for certain classes of the Riccati differential equation  [pdf, ps]
    Nasser Saad , Richard L. Hall, and Hakan Ciftci
    J. Phys. A 40, 10903 - 10914 (2007)
    [122] Eigenvalue bounds for polynomial central potentials in d dimensions  [pdf, ps]
    Qutaibeh Katatbeh, Richard L. Hall, and Nasser Saad
    J. Phys. A 40 13431 - 13442 (2007)
    [121] Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials  [pdf, ps]
    Richard L. Hall
    Phys. Lett. A 372, 12 - 15 (2007)
    [120] Binding energy of semirelativistic N-boson systems  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    J. Phys. A 40, 6183 - 6192 (2007)
    [119] Schrödinger secant lower bounds to semirelativistic eigenvalues  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    Int. J. Mod. Phys. A 22, 1899 - 1904 (2007)
    [118] Wave equation and dispersion relations for a compressible rotating fluid  [pdf, ps]
    José Marín-Antuña, Richard L. Hall, and Nasser Saad
    Phys. Lett. A 362, 57 - 60 (2007)
    [117] Criterion for polynomial solutions to a class of linear differential equation of second order  [pdf, ps]
    Nasser Saad , Richard L. Hall, and Hakan Ciftci
    J. Phys. A 39, 13445 - 13454 (2006)
    [116] Sextic anharmonic oscillators and orthogonal polynomials  [pdf, ps]
    Nasser Saad , Richard L. Hall, and Hakan Ciftci
    J. Phys. A 39, 8477 - 8486 (2006)
    [115] Study of a class of non-polynomial oscillator potentials  [pdf, ps]
    Nasser Saad , Richard L. Hall, and Hakan Ciftci
    J. Phys. A 39, 7745-7756 (2006)
    [114] Semirelativistic stability of N-boson systems bound by 1/r pair potentials.
    Richard L. Hall and Wolfgang Lucha
    J. Phys. A 41, 1751 - 8121 (2008) 355202  [pdf, ps]
    [113] Gravitating semirelativistic N-boson systems  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    J. Phys. A 39, 11531 - 11540 (2006)
    [112] Exact solutions to semirelativistic problems with non-local potentials  [pdf, ps]
    Richard L. Hall
    J. Phys. A 39, 903-912 (2006).
    [111] Schrödinger upper bounds to semirelativistic eigenvalues  [pdf, ps]
    Richard L. Hall and Wolfgang Lucha
    J. Phys. A 38, 7997-8002 (2005).
    [110] Green's function for a Schrödinger operator and some related summation formulas  [pdf, ps]
    Attila B. von Keviczky, Nasser Saad, and Richard L. Hall
    J. Math. Phys. 46, 073512 (2005).
    [109] Iterative solutions to the Dirac equation  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Rev. A 72, 022101 (2005).
    [108 ] Perturbation theory in a framework of iteration methods  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Lett. A 340 388-396 (2005).
    [107] Construction of exact solutions to eigenvalue problems by the asymptotic iteration method  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, Nasser Saad
    J. Phys. A 38, 1147-1155 (2005).
    [106] Study of anharmonic singular potentials  [pdf, ps]
    Nasser Saad, Richard L. Hall, Qutaibeh D. Katatbeh
    J. Math. Phys. 46, 022104 (2005).
    [105] A basis for variational calculations in d dimensions  [pdf, ps]
    Richard L. Hall, Qutaibeh D. Katatbeh, Nasser Saad
    J. Phys. A 37, 11629-11644 (2004).
    [104] Relativistic N-boson systems bound by pair potentials V(r) = g(r2)  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    J. Math. Phys. 45, 3086-3094 (2004).
    [103] Phase shifts and resonances in the Dirac equation  [pdf, ps]
    Piers Kennedy, Richard L. Hall, and Norman Dombey
    Int. J. Mod. Phys. A 19, 3557-3581 (2004).
    [102] Friedrichs extensions of Schrödinger operators with singular potentials  [pdf, ps]
    Attila B. von Keviczky, Nasser Saad, and Richard L. Hall
    J. Math. Anal. Appl. 292, 274-293 (2004).
    [101] The energy of a system of relativistic massless bosons bound by oscillator pair potentials  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    Phys. Lett. A 320, 127-130 (2003).
    [100] Perurbation expansions for a class of singular potentials  [pdf, ps]
    Nasser Saad, Richard L. Hall, and Attila B. von Keviczky
    J. Math. Phys. 44, 5021-5041 (2003).
    [99] Asymptotic iteration method for eigenvalue problems  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    J. Phys. A 36, 11807-11816 (2003).
    [98] Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials  [pdf, ps]
    Nasser Saad and Richard L. Hall
    J. Phys. A 36, 7771-7788 (2003).
    [97] Semiclassical energy formulae for power-law and log potentials in quantum mechanics  [pdf, ps]
    Richard L. Hall and Qutaibeh D. Katatbeh
    J. Phys. A 36, 7173-7184 (2003).
    [96] Coulomb Plus power-law potentials in quantum mechanics  [pdf, ps]
    Hakan Ciftci, Richard L. Hall, and Qutaibeh D. Katatbeh
    J. Phys. A 36, 7001-7007 (2003).
    [95] Energy bounds for a class of singular potentials and some related series  [pdf, ps]
    Nasser Saad, Richard L. Hall, and Attila B. von Keviczky
    J. Phys. A 36, 487-498 (2003).
    [94] Discrete spectra of semirelativistic Hamiltonians  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    Int. J. Mod. Phys. A 18, 2657-2680 (2003)
    [93] Generalized comparison theorems in quantum mechanics  [pdf, ps]
    Richard L. Hall and Qutaibeh D. Katatbeh
    J. Phys. A 35, 8727-8742 (2002)
    [92] Convexity and potential sums for Salpeter-like Hamiltonians  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    J. Math. Phys. 43, 5913-5925 (2002)
    [91] Closed-form sums for some perturbation series involving hypergeometric functions  [pdf, ps]
    Nasser Saad and Richard L. Hall
    J. Phys. A 35, 4105-4123 (2002)
    [90] Spectral bounds for the cutoff Coulomb potential  [pdf, ps]
    Richard L. Hall and Qutaibeh D. Katatbeh
    Phys. Lett. A294, 163-167 (2002).
    [89] Closed-form sums for some perturbation series involving associated Laguerre polynomials  [pdf, ps]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Phys. A34, 11287-11300 (2001).
    [88] Spiked harmonic oscillators  [pdf, ps]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Math. Phys. 43, 94-112 (2002).
    [87] Relativistic N-boson systems bound by oscillator pair potentials  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    J. Math. Phys. 43, 1237-1246 (2002); 44, 2724-2725 (2003).
    [86] Discrete spectra of semirelativistic Hamiltonians from envelope theory  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    Int. J. Mod. Phys. A 17, 1931-1951 (2002).
    [85] Spectral bounds for the Hellmann potential  [pdf, ps]
    Richard L. Hall and Qutaibeh D. Katatbeh
    Phys. Lett. A 287, 183-186 (2001).
    [84] Energy bounds for the spinless Salpeter equation  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    J. Math. Phys. 42, 5228-5237 (2001).
    [83] Generalized spiked harmonic oscillator  [pdf, ps]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Phys. A34, 1169-1179 (2001).
    [82] Energy bounds for the spinless Salpeter equation: harmonic oscillator  [pdf, ps]
    Richard L. Hall, Wolfgang Lucha, and Franz F. Schöberl
    J. Phys. A34, 5059-5064 (2001)
    [81] General energy bounds for systems of bosons with soft cores  [pdf, ps]
    Richard L. Hall
    Phys. Rev. A62, 052510 (2000).
    [80] Smooth spectral transition from Coulomb to oscillator  [pdf, ps]
    Richard L. Hall
    ESI Programme Confinement (Vienna, Austria, 2000).
    [79] Perturbation expansions for the spiked harmonic oscillator and related series involving the gamma function  [pdf, ps]
    Richard L. Hall and Nasser Saad
    J.Phys. A33, 5531-5537 (2000).
    [78] A simple interpolation formula for the spectra of power-law and log potentials  [pdf, ps]
    Richard L. Hall
    J.Phys. G26, 981-986 (2000).
    [77] Positron tunnelling through the Coulomb barrier of superheavy nuclei  [pdf, ps]
    Norman Dombey and Richard L. Hall
    Phys. Lett. B474, 1-6 (2000).
    [76] Variational analysis for a generalized spiked harmonic oscillator  [pdf, ps]
    Richard L. Hall and Nasser Saad
    J. Phys. A 33, 569-578 (2000).
    [75] Spectral comparison theorem for the Dirac equation  [pdf]
    Richard L. Hall
    Phys. Rev. Lett. 83, 468-471 (1999).
    [74] Functional inversion for potentials in quantum mechanics  [pdf, ps]
    Richard L. Hall
    Phys. Lett. A265, 28-34 (2000).
    [73] An inversion inequality for potentials in quantum mechanics  [pdf]
    Richard L. Hall
    J. Math. Phys. 40, 2254-2258 (1999).
    [72] Eigenvalue bounds for a class of singular potentials in N dimensions  [pdf, ps]
    Richard L. Hall and Nasser Saad
    J. Phys. A32, 133-138 (1999).
    [71] Constructive inversion of energy trajectories in quantum mechanics  [pdf]
    Richard L. Hall
    J. Math. Phys. 40, 699-707 (1999).
    [70] Matrix elements for a generalized spiked harmonic oscillator  [pdf]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Math. Phys. 39, 6345-6352 (1998).
    [69] Smooth transformations of Kratzer's potential in N dimensions
    Richard L. Hall and Nasser Saad
    J. Chem. Phys. 109, 2983-2986 (1998).
    [68] Eigenvalue bounds for a class of singular potentials
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 31, 963-967 (1998).
    [67] Spectral approximation by the polar transformation
    Richard L. Hall and Zhou Wei Hua
    Can. J. Phys. 76, 31-37 (1998).
    [66] Eigenvalue comparisons for quantum systems in a box
    Richard L. Hall and Nasser Saad
    Phys. Lett. A 237, 107-112 (1998)
    [65] Bounds on Schrödinger eigenvalues for polynomial potentials in N dimensions  [pdf]
    Richard L. Hall and Nasser Saad
    J. Math. Phys. 38, 4909-4913 (1997)
    [64] Eigenvalue bounds for transformations of solvable potentials,
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 29, 2127-2137 (1996).
    [63] The quantum-mechanical box effect  [pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A. Math. Gen. 29, 2127-2137 (1996).
    [62] Energy bounds for the spiked harmonic oscillator
    Richard L. Hall and Nassser Saad
    Can. J. Phys. 73 , 493-496 (1995).
    [61] Geometric spectral inversion by the WKB approximation
    Richard L. Hall
    Phys. Rev A 51, 1787-1791 (1995).
    [60] Spectral geometry and the N-body problem  [pdf]
    Richard L. Hall
    Phys. Rev. A 51, 3499-3505 (1995).
    [59] The spectral inheritance of potentials with flat bottoms,
    Richard L. Hall
    Phys. Rev. A 50, 2876-2880 (1994).
    [58] Geometric Spectral Inversion
    Richard L. Hall
    J. Phys. A: Math. Gen. 28, 1771-1786 (1995).
    [57] Energy bounds for the generalized exponential-cosine screened Coulomb potential
    Michel Coté and Richard L. Hall
    Can. J.Phys. 72 , 233-237 (1994).
    [56] Energy of the laser-dressed Coulomb potential by the potential envelope method
    J. P. Duarte and Richard L. Hall
    J.Phys B: At. Mol. Opt. Phys. 27 , 1021-1025 (1994).
    [55] Computer aided delusions
    R. L. Hall
    Col. Math. J. 24, 366-369 (1993).
    [54] Envelope theory in spectral geometry
    Richard L. Hall
    J.Math.Phys. 34, 2779-2788 (1993).
    [53] Gravitating boson systems
    Richard L. Hall
    Phys. Rev. A 45, 7682-7687 (1992).
    [52] Refining the comparison theorem of quantum mechanics
    Richard L. Hall
    J. Phys. A 25, 4459-4469 (1992).
    [51] Square-well representations for potentials in quantum mechanics
    Richard L. Hall
    J. Math. Phys. 33 , 3472-3476 (1992)
    [50] Spectrum of the Coulomb-plus-Yukawa potential by the method of potential envelopes
    J. P. Duarte and Richard L. Hall
    Can. J. Phys. 69, 1362-1366 (1991).
    [49] The Yukawa and Hulthen potentials in quantum mechanics
    Richard L. Hall
    J. Phys. A: Math. Gen. 25 , 1373-1382 (1992).
    [48] Mixtures of potentials in quantum mechanics
    Richard L. Hall
    J. Math. Phys. 33, 1710-1716 (1992).
    [47] The frequency-dependent convergence properties of some integrals with oscillatory integrands
    Richard L. Hall and E. R. Love
    J. Math. Anal. and Appl. 151, 550-556 (1990).
    [46] Some oscillating integrands with small ripples,
    Richard L. Hall
    J. Math. Anal. and Appl. 145, 365-370 (1990).
    [45] Spectral geometry of power-law potentials in quantum mechanics
    Richard L. Hall
    Phys. Rev. A 39, 5500-5507 (1989).
    [44] The equivalent two-body and delta lower bounds for N-boson systems
    Richard L. Hall
    J. Phys. A: Math. Gen. 22, 179-183 (1989).
    [43] The ground-state energy of a system of identical bosons
    Richard L. Hall
    J. Math. Phys. 29, 990-995 (1988).
    [42] Complementary pictures of the N-boson problem
    Richard L. Hall
    Phys. Rev. A 37, 2673-2679 (1988).
    [41] Bounds on the energy of the N-body problem with linear combinations of power-law potentials and the log potential
    Richard L. Hall
    Phys. Rev. D 37, 540-545 (1988).
    [40] Calculation of the masses of the ground-state baryons as a test of the hypothesis that the potential is a combination of a coulomb and a linear potential,
    C. S. Kalman, B. Tran, and Richard L. Hall
    Nuovo Cimento A 98, 125-130 (1987).
    [39] Complementary energy bounds for N-boson systems with linear pair potentials
    Richard L. Hall
    Phys. Rev. A 36, 4014-4019 (1987).
    [38] Dirac spinor orbits
    Richard L. Hall
    J. Math. Phys. 28, 457-464 (1987).
    [37] Dirac eigenvalues for screened Coulomb potentials
    Richard L. Hall
    J. Phys. A 19, 2079-2086 (1986).
    [36] Potential envelopes and the large-N approximation
    Richard L. Hall
    J. Math. Phys.,27, 1027-1030 (1986).
    [35] Envelope representations for screened Coulomb potentials
    Richard L. Hall
    Phys. Rev. A 32, 14-18 (1985).
    [34] Coulomb potential envelopes for a relativistic fermion in a central field,
    Richard L. Hall
    J. Math. Phys. 26, 1779-1785 (1985).
    [33] A simple eigenvalue formula for the quartic anharmonic oscillator
    Richard L. Hall
    Can. J. Phys. 63, 311-313 (1985).
    [32] Simple eigenvalue formula for the Coulomb-plus-linear potential
    Richard L. Hall
    Phys. Rev. D 30, 433-436 (1984).
    [31] Kinetic potentials in quantum mechanics
    Richard L. Hall
    J. Math. Phys. 25, 2708-2715 (1984).
    [30] The inequality (2/(N(N-1))E(N) <= (2/(K(K-1))E(K) relating two systems of identical bosons
    Richard L. Hall
    Phys. Rev. D 27, 2379-2382 (1983).
    [29] A geometrical theory of energy trajectories in quantum mechanics
    Richard L. Hall
    J. Math. Phys. 24, 324-335 (1983).
    [28] The perturbation of some exactly soluble problems in quantum mechanics by the method of potential envelopes
    Richard L. Hall and M. Sapathy
    J. Phys. A 14, 2645-2651 (1981).
    [27] A consistent quark model with hyperfine interactions for the ground and low lying baryon states
    Richard L. Hall and C. S. Kalman
    Phys. Rev. D 25, 217-222 (1982).
    [26] Schrödinger's equation with linear combinations of elementary potentials
    Richard L. Hall
    Phys. Rev. D, 23, 1421-1429 (1981).
    [25] Energy trajectories for the N-boson problem by the method of potential envelopes
    Richard L. Hall
    Phys. Rev. D 22, 2062-2072 (1980).
    [24] The hyperfine splitting of the ground state of baryonium using a harmonic oscillator potential
    C. S. Kalman, Richard L. Hall, and S. Misra
    Phys. Rev. D 21, 1905-1915 (1980).
    [23] The complete exact solution to the N-body harmonic oscillator problem
    Richard L. Hall and B. Schwesinger
    J. Math. Phys. 20, 2481-2483 (1979).
    [22] Inequalities for the probability content of a rotated square and related convolutions
    Richard L. Hall, M. Kanter, and M. Perlman
    Ann. Prob. 8, 802-813 (1980).
    [21] Inverse moments for a class of tuncated normal distributions
    Richard L. Hall
    Sankhya B, 41, 1155-1160 (1979).
    [20] Complement to the Rayleigh-Ritz principle for a system composed of identical particles
    Richard L. Hall
    Phys. Rev. C 20, 1155 - 1160 (1979).
    [19] Non-local interactions and the N-boson problem
    Richard L. Hall
    Zeitschrift für Physik A 291, 255-259 (1979).
    [18] Extension of the logarithmic potential to multiquark systems: dependence of the energy on the depth and range
    Richard Hall and C. S. Kalman
    Phys. Lett. B 83, 80-82 (1979).
    [17] Trajectories of human granulocytes
    Richard L. Hall and S. C. Peterson
    Biophys. J. 25, 365-372 (1979).
    [16] On certain functional derivatives  [pdf]
    Richard L. Hall
    JOTA (Journal of Optimization Theory and its Applications) 26, 373-378 (1978).
    [15] Lower energy bounds for translation-invariant atom-like systems
    Richard L. Hall
    J. Math. Phys. 19, 1969-1972 (1978).
    [14] Exact solutions of Schrödinger's equation for translation-invariant harmonic matter
    Richard L. Hall
    J. Phys. A,11, 1235-1240 (1978).
    [13] Some exact solutions to the translation-invariant N-body problem
    Richard L. Hall
    J. Phys. A: Math. Gen. 11, 1227-1233 (1978).
    [12] Exact solutions of Schrödinger's equation for translation-invariant harmonic atoms
    Richard L. Hall
    Phys. Lett. A 65, 85-86 (1978).
    [11] Amoeboid movement as a correlated walk
    Richard L. Hall
    J. Math. Biol. 4, 327-335 (1977).
    [10] Many-particle systems
    Richard L. Hall
    J. Phys. A, 5, 608-611 (1972).
    [9] On single-product functions with rotational symmetry
    Richard L. Hall
    Aequationes Mathematicae 8, 281-286 (1972).
    [8] Gaussian wave functions and the many-body problem
    Richard L. Hall
    Can. J. Phys. 50, 305-311 (1972).
    [7] Rigorous lower bounds on the energies of the N-body problem,
    Richard L. Hall
    Phys. Lett. B 30, 320-321 (1969).
    [6] The binding energy of three nucleons,
    Richard L. Hall
    Proc. Phys. Soc. (Series 2) 1, 468-474 (1968).
    [5] Bound states of three identical bosons
    J. W. Humberston, R. L. Hall, and T. A. Osborn
    Phys. Lett. B 27, 185-198 (1968).
    [4] Many-particle systems V: zero-range interactions
    R. L. Hall
    Proc. Phys. Soc. 91, 787-793 (1967).
    [3] Energy lower bounds for translation-invariant N-fermion systems,
    R. L. Hall
    Proc. Phys. Soc. 91, 16-22 (1967).
    [2] Many-particle systems IV: short-range interactions
    R. L. Hall and H. R. Post
    Proc. Phys. Soc. 90, 381-396 (1967).
    [1] Degenerate eigenvalues
    R. L. Hall
    Phys. Ed. 2, 40-41 (1967).

    Back to the top
    Home Page.