Examination of the pseudospin symmetry for the relativistic harmonic oscillator with the similarity renormalization group

2014 ◽  
Vol 90 (3) ◽  
Author(s):  
Min Shi ◽  
Dong-Peng Li ◽  
Shou-Wan Chen ◽  
Jian-You Guo
Keyword(s):  
Renormalization Group ◽  
Harmonic Oscillator ◽  
Pseudospin Symmetry ◽  
Similarity Renormalization Group ◽  
Relativistic Harmonic Oscillator

scholarly journals Pseudospin symmetry and the relativistic harmonic oscillator

2004 ◽  
Vol 69 (2) ◽  
Author(s):  
R. Lisboa ◽  
M. Malheiro ◽  
A. S. de Castro ◽  
P. Alberto ◽  
M. Fiolhais
Keyword(s):  
Harmonic Oscillator ◽  
Pseudospin Symmetry ◽  
Relativistic Harmonic Oscillator

scholarly journals PERTURBATIVE BREAKING OF THE PSEUDOSPIN SYMMETRY IN THE RELATIVISTIC HARMONIC OSCILLATOR

2004 ◽  
Vol 13 (07) ◽  
pp. 1447-1451 ◽  
Author(s):  
RONAI LISBOA ◽  
MANOEL MALHEIRO ◽  
A. S. de CASTRO ◽  
P. ALBERTO ◽  
MANOEL FIOLHAIS
Keyword(s):  
Harmonic Oscillator ◽  
Neutron Stars ◽  
Bound States ◽  
Pseudospin Symmetry ◽  
Positive Energy ◽  
Relativistic Harmonic Oscillator ◽  
Tensor Potential ◽  
Mean Fields ◽  
Energy Bound ◽  
Shed Light

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 eigenenergies are quite different from those of the non-relativistic harmonic oscillator. We also discuss a mechanism for perturbatively breaking this symmetry by introducing a tensor potential. Our results shed light into the intrinsic relativistic nature of the pseudospin symmetry, which might be important in high density systems such as neutron stars.

Pseudospin symmetry in the relativistic harmonic oscillator

2005 ◽  
Vol 757 (3-4) ◽  
pp. 411-421 ◽  
Author(s):  
Jian-You Guo ◽  
Xiang-Zheng Fang ◽  
Fu-Xin Xu
Keyword(s):  
Harmonic Oscillator ◽  
Pseudospin Symmetry ◽  
Relativistic Harmonic Oscillator

scholarly journals Ab initio electromagnetic observables with the in-medium similarity renormalization group

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
N. M. Parzuchowski ◽  
S. R. Stroberg ◽  
P. Navrátil ◽  
H. Hergert ◽  
S. K. Bogner
Keyword(s):  
Renormalization Group ◽  
Ab Initio ◽  
Similarity Renormalization Group

The quantum relativistic harmonic oscillator: generalized Hermite polynomials

1991 ◽  
Vol 156 (7-8) ◽  
pp. 381-385 ◽  
Author(s):  
V. Aldaya ◽  
J. Bisquert ◽  
J. Navarro-Salas
Keyword(s):  
Harmonic Oscillator ◽  
Hermite Polynomials ◽  
Relativistic Harmonic Oscillator
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