[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 + br^{2} 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 + br^{2} 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(r^{2})
[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). |