Phase‐space approach to relativistic quantum mechanics. I. Coherent‐state representation for massive scalar particles

1977 ◽  
Vol 18 (5) ◽  
pp. 952-959 ◽  
Author(s):  
Gerald Kaiser
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Coherent State ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Massive Scalar ◽  
State Representation ◽  
Scalar Particles ◽  
Space Approach

Trajectories and causal phase-space approach to relativistic quantum mechanics

1987 ◽  
Vol 17 (5) ◽  
pp. 531-548 ◽  
Author(s):  
P. R. Holland ◽  
A. Kyprianidis ◽  
J. P. Vigier
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Space Approach

scholarly journals Exact Solutions of the (2+1)-Dimensional Dirac Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Non-commutative Phase Space

2015 ◽  
Vol 70 (8) ◽  
pp. 619-627 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Hassan Hassanabadi
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Phase Space ◽  
Hypergeometric Functions ◽  
Relativistic Quantum ◽  
Minimal Length ◽  
Wave Functions ◽  
Relativistic Quantum Mechanics ◽  
Two Dimensional ◽  
Dirac Oscillator

AbstractWe consider a two-dimensional Dirac oscillator in the presence of a magnetic field in non-commutative phase space in the framework of relativistic quantum mechanics with minimal length. The problem in question is identified with a Poschl–Teller potential. The eigenvalues are found, and the corresponding wave functions are calculated in terms of hypergeometric functions.

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