scholarly journals Yukawa's Approach and Dirac's Approach to Relativistic Quantum Mechanics: Relativistic Harmonic Oscillator Model

1980 ◽  
Vol 64 (5) ◽  
pp. 1852-1860 ◽  
Author(s):  
D. Han ◽  
Y. S. Kim
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Oscillator Model ◽  
Relativistic Harmonic Oscillator ◽  
Harmonic Oscillator Model

scholarly journals A family of analytically solvable Schrödinger equations related by Levi-Civita transformation

2019 ◽  
Vol 16 (3) ◽  
pp. 103
Author(s):  
Le Dai Nam ◽  
Phan Anh Luan ◽  
Luu Phong Su ◽  
Phan Ngoc Hung
Keyword(s):  
Exact Solution ◽  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Anharmonic Oscillator ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Schrödinger Equations ◽  
Two Dimensional ◽  
Spatial Transformations ◽  
Solvable Problems

Some two-dimensional problems in non-relativistic quantum mechanics can connect to each other by certain spatial transformations such as Levi-Civita transformation. This property allows forming a series of two-dimensional problems into an interrelated family. Starting from two related problems namely Coulomb plus harmonic oscillator and sextic double-well anharmonic oscillator potentials, such family is constructed via repeatedly applying Levi-Civita transformations. Obviously, this family contains various of exactly analytically solvable problems. The quasi-exact solution for each unknown member of this family is also obtained and systematically investigated.

scholarly journals Multiquark cluster form factors in the relativistic harmonic oscillator model

2015 ◽  
Vol 39 (1) ◽  
pp. 013102
Author(s):  
Qing Wu ◽  
Li-Juan Zhou ◽  
Qian-Fei Xiang ◽  
Wei-Xing Ma
Keyword(s):  
Harmonic Oscillator ◽  
Form Factors ◽  
Oscillator Model ◽  
Relativistic Harmonic Oscillator ◽  
Harmonic Oscillator Model
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