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Pseudospin and spin symmetries in the relativistic harmonic oscillator
(2006-12-01)
We compute the analytical solutions of the generalized relativistic harmonic oscillator in 1+1 dimensions, including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite ...
Pseudospin and spin symmetries in the relativistic harmonic oscillator
(2006-12-01)
We compute the analytical solutions of the generalized relativistic harmonic oscillator in 1+1 dimensions, including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite ...
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
(World Scientific Publ Co Pte Ltd, 2004-08-01)
We show that relativistic mean fields theories with scalar S, and vector V, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry and positive energy bound states when S = -V. The ...
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
(World Scientific Publ Co Pte Ltd, 2004-08-01)
We show that relativistic mean fields theories with scalar S, and vector V, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry and positive energy bound states when S = -V. The ...
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
(World Scientific Publ Co Pte Ltd, 2014)
Generalized relativistic harmonic oscillator in minimal length quantum mechanics
(2017-06-19)
We solve the generalized relativistic harmonic oscillator in 1 + 1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss ...
Métodos numéricos para a solução da equação de Dirac potenciais de oscilador harmônico
(Universidade Federal do Rio Grande do NorteBrasilUFRNFísica Bacharelado, 2017-12-07)
The Harmonic Oscillator (HO) is a system addressed in various areas of physics and with many applications in vasts fields of science. We present the equations of the HOs for the classical, quantum and relativistic cases ...
Pseudospin symmetry and the relativistic harmonic oscillator
(2004-02-01)
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U ...
Pseudospin symmetry and the relativistic harmonic oscillator
(2004-01-01)
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar [Formula Presented] and a vector [Formula Presented] quadratic potentials in the radial coordinate, ...