Richard Hall: Research Papers

Research Papers

Return to home page.

[85]	Spectral bounds for the Hellmann potential [ps pdf] Richard L. Hall and Qutaibeh D. Katatbeh

[84]	Energy bounds for the spinless Salpeter equation [ps pdf] Richard L. Hall, Wolfgang Lucha, and Franz F. Schoeberl

[83]	Generalized spiked harmonic oscillator [ps pdf] Richard L. Hall, Nasser Saad, and Attila B von Keviczky J. Phys. A 34, 1169-1179 (2001).

[82]	Energy bounds for the spinless Salpeter equation: harmonic oscillator [ps pdf] Richard L. Hall, Wolfgang Lucha, and Franz F. Schoeberl

[81]	General energy bounds for systems of bosons with soft cores [ps pdf] Richard L. Hall Phys. Rev. A62, 052510 (2000).

[80]	Smooth spectral transition from Coulomb to oscillator [ps pdf] Richard L. Hall ESI Programme Confinement (Vienna, Austria, 2000).

[79]	Perturbation expansions for the spiked harmonic oscillator and related series involving the gamma function [ps pdf] 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 [ps pdf] Richard L. Hall J.Phys. G26, 981-986 (2000).

[77]	Positron tunnelling through the Coulomb barrier of superheavy nuclei [ps pdf] Norman Dombey and Richard L. Hall Phys. Lett. B474, 1-6 (2000).

[76]	Variational analysis for a generalized spiked harmonic oscillator [ps pdf] 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 [ps pdf] 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] 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 (1995).

[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 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, 2078-2015 (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, 66-76 (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 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