Richard L. Hall 


Last update 12 August 2015
Telephone: (514) 8482424 loc 3221
Messages: (514) 8482424 loc 3223
Fax: (514) 8482831
Quantum Mechanics
 
Schrödinger Operators
 
Applied Analysis
 
Applied Probability
 
ManyBody Problem in QM
 
Spectral Geometry
 
Geometric Spectral Inversion

[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. [In Press] 
[144] 
Schrödinger models for solutions of the BetheSalpeter 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
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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 secondorder 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 spinsymmetric
and pseudospinsymmetric 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 spinsymmetric
and pseudospinsymmetric interactions
[pdf, ps]
Richard L. Hall and Özlem Yeşiltaş J. Phys. A: Math. Theor. 43 (2010) 195303. 
[132] 
Softcore 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 Nboson 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 softcore Coulomb potential
[pdf, ps]
Richard L. Hall, Nasser Saad, K. D. Sen, and Hakan Ciftci Phys. Rev. A 80, 032507 (2009). 
[129] 
KleinGordon lower bounds to semirelativistic groundstate energies
[pdf, ps]
Richard L. Hall and Wolfgang Lucha Phys. Lett. A 374, 1980  1984 (2010). 
[128] 
Comparison theorems for the KleinGordon 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 Hydrogenlike 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 KleinGordon 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 KleinGordon equation with cutoff Coulomb potentials
[pdf, ps]
Richard L. Hall Phys. Lett. A 372, 12  15 (2007) 
[120] 
Binding energy of semirelativistic Nboson 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 MarínAntuña, 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 nonpolynomial oscillator potentials
[pdf, ps]
Nasser Saad , Richard L. Hall, and Hakan Ciftci J. Phys. A 39, 77457756 (2006) 
[114] 
Semirelativistic stability of Nboson 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 Nboson systems
[pdf, ps]
Richard L. Hall and Wolfgang Lucha J. Phys. A 39, 11531  11540 (2006) 
[112] 
Exact solutions to semirelativistic problems with nonlocal potentials
[pdf, ps]
Richard L. Hall J. Phys. A 39, 903912 (2006). 
[111] 
Schrödinger upper bounds to semirelativistic eigenvalues
[pdf, ps]
Richard L. Hall and Wolfgang Lucha J. Phys. A 38, 79978002 (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). 