scholarly journals DYNAMICAL SYMMETRIES OF DIRAC HAMILTONIAN

2012 ◽  
Vol 27 (06) ◽  
pp. 1230004
Author(s):  
RIAZUDDIN
Keyword(s):  
Angular Momentum ◽  
Energy Spectrum ◽  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Scalar Potential ◽  
Dynamical Symmetries ◽  
Lorentz Scalar ◽  
Relativistic Hydrogen ◽  
Relativistic Hydrogen Atom ◽  
Dirac Hamiltonian

Several dynamical symmetries of the Dirac Hamiltonian are reviewed and the conditions under which such symmetries hold are considered. These include relativistic spin and orbital angular momentum symmetries, SO (4)× SU σ(2) symmetry for generalized relativistic hydrogen atom that includes an extra Lorentz scalar potential, SU (3)× SU σ(2) symmetry for the relativistic simple harmonic oscillator. The energy spectrum in each case is calculated from group-theoretic considerations.

scholarly journals The massless Dirac–Weyl equation with deformed extended complex potentials

2018 ◽  
Vol 96 (7) ◽  
pp. 770-773
Author(s):  
Özlem Yeşiltaş ◽  
Bengü Çag̃atay
Keyword(s):  
Energy Spectrum ◽  
Scalar Potential ◽  
Fermi Velocity ◽  
Effective Hamiltonian ◽  
Velocity Function ◽  
Lorentz Scalar ◽  
Klein Gordon ◽  
Extended Complex ◽  
Weyl Equation ◽  
Dirac Hamiltonian

Basically (2 + 1)-dimensional Dirac equation with real deformed Lorentz scalar potential is investigated in this study. The position-dependent Fermi velocity function transforms Dirac Hamiltonian into a Klein–Gordon-like effective Hamiltonian system. The complex Hamiltonian and its real energy spectrum and eigenvectors are obtained analytically. Moreover, the Lie algebraic analysis is also performed.

scholarly journals An algebraic solution for the relativistic hydrogen atom

2005 ◽  
Vol 339 (3-5) ◽  
pp. 259-268 ◽  
Author(s):  
R.P. Martínez-y-Romero ◽  
H.N. Núñez-Yépez ◽  
A.L. Salas-Brito
Keyword(s):  
Hydrogen Atom ◽  
Algebraic Solution ◽  
Relativistic Hydrogen ◽  
Relativistic Hydrogen Atom

Relativistic hydrogen atom: Wave equation in Whittaker form

1993 ◽  
Vol 34 (11) ◽  
pp. 4964-4974 ◽  
Author(s):  
Jeffrey M. Cohen ◽  
Boris Kuharetz
Keyword(s):  
Wave Equation ◽  
Hydrogen Atom ◽  
Relativistic Hydrogen ◽  
Relativistic Hydrogen Atom
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