Chebyshev scheme for the propagation of quantum wave functions in phase space

1993 ◽  
Vol 99 (3) ◽  
pp. 1824-1827 ◽  
Author(s):  
Go. Torres‐Vega
Keyword(s):  
Phase Space ◽  
Wave Functions ◽  
Quantum Wave

scholarly journals Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
H. Panahi ◽  
A. Savadi
Keyword(s):  
Exact Solution ◽  
Phase Space ◽  
Algebraic Approach ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues ◽  
Good Agreement

We study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.

One-Dimensional Harmonic Oscillator in Quantum Phase Space

2011 ◽  
Vol 110-116 ◽  
pp. 3750-3754
Author(s):  
Jun Lu ◽  
Xue Mei Wang ◽  
Ping Wu
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Quantum Phase ◽  
Space Representation ◽  
Wave Mechanics ◽  
One Dimensional ◽  
Matrix Mechanics ◽  
The Matrix ◽  
Quantum Wave ◽  
The One

Within the framework of the quantum phase space representation established by Torres-Vega and Frederick, we solve the rigorous solutions of the stationary Schrödinger equations for the one-dimensional harmonic oscillator by means of the quantum wave-mechanics method. The result shows that the wave mechanics and the matrix mechanics are equivalent in phase space, just as in position or momentum space.

scholarly journals Quantum flux and reverse engineering of quantum wave functions

2013 ◽  
Vol 102 (6) ◽  
pp. 60005 ◽  
Author(s):  
D. J. Mason ◽  
M. F. Borunda ◽  
E. J. Heller
Keyword(s):  
Reverse Engineering ◽  
Wave Functions ◽  
Quantum Flux ◽  
Quantum Wave

Characterizing the spatial entanglement from laser modes analogous to quantum wave functions

2021 ◽  
Author(s):  
Yung-Fu Chen ◽  
M. X. Hsieh ◽  
X. L. Zheng ◽  
Y. T. Yu ◽  
Hsing-Chih Liang ◽  
...  
Keyword(s):  
Wave Functions ◽  
Quantum Wave ◽  
Laser Modes

scholarly journals Phase-space manipulations of many-body wave functions

2014 ◽  
Vol 90 (6) ◽  
Author(s):  
G. Condon ◽  
A. Fortun ◽  
J. Billy ◽  
D. Guéry-Odelin
Keyword(s):  
Phase Space ◽  
Body Wave ◽  
Wave Functions ◽  
Many Body

scholarly journals Realization of the noncommutative Seiberg–Witten gauge theory by fields in phase space

2015 ◽  
Vol 30 (22) ◽  
pp. 1550135 ◽  
Author(s):  
R. G. G. Amorim ◽  
F. C. Khanna ◽  
A. P. C. Malbouisson ◽  
J. M. C. Malbouisson ◽  
A. E. Santana
Keyword(s):  
Hilbert Space ◽  
Gauge Theory ◽  
Phase Space ◽  
Gauge Symmetry ◽  
Probability Density ◽  
Symmetry Analysis ◽  
Wave Functions ◽  
Wigner Functions ◽  
Poincaré Symmetry

Representations of the Poincaré symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions (quasi-amplitudes of probability) associated with Wigner functions (quasi-probability density). The gauge symmetry analysis provides a realization of the Seiberg–Witten gauge theory for noncommutative fields.

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