scholarly journals Gauge covariance of the Aharonov–Bohm phase in noncommutative quantum mechanics

2008 ◽  
Vol 666 (2) ◽  
pp. 199-204 ◽  
Author(s):  
Masud Chaichian ◽  
Miklos Långvik ◽  
Shin Sasaki ◽  
Anca Tureanu
Keyword(s):  
Quantum Mechanics ◽  
Noncommutative Quantum Mechanics ◽  
Gauge Covariance ◽  
Aharonov Bohm ◽  
Noncommutative Quantum

scholarly journals The Aharonov–Bohm effect in noncommutative quantum mechanics

2006 ◽  
Vol 46 (3) ◽  
pp. 825-828 ◽  
Author(s):  
K. Li ◽  
S. Dulat
Keyword(s):  
Quantum Mechanics ◽  
Noncommutative Quantum Mechanics ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Noncommutative Quantum

scholarly journals Towards an Observable Test of Noncommutative Quantum Mechanics

2019 ◽  
Vol 64 (11) ◽  
pp. 983 ◽  
Author(s):  
Liang Shi-Dong ◽  
T. Harko
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Quantum Physics ◽  
Planck Scale ◽  
Noncommutative Phase Space ◽  
A Value ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Spacetime ◽  
Aharonov Bohm ◽  
Noncommutative Quantum

The conceptual incompatibility of spacetime in gravity and quantum physics implies the existence of noncommutative spacetime and geometry on the Planck scale. We present the formulation of a noncommutative quantum mechanics based on the Seiberg–Witten map, and we study the Aharonov–Bohm effect induced by the noncommutative phase space. We investigate the existence of the persistent current in a nanoscale ring with an external magnetic field along the ring axis, and we introduce two observables to probe the signal coming from the noncommutative phase space. Based on this formulation, we give a value-independent criterion to demonstrate the existence of the noncommutative phase space.

Fractional Zero-Point Angular Momenta in Noncommutative Quantum Mechanics

2016 ◽  
Vol 71 (9) ◽  
pp. 823-829
Author(s):  
Si-Jia Liu ◽  
Yu-Fei Zhang ◽  
Zheng-Wen Long ◽  
Jian Jing
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Phase Space ◽  
Dimensionless Parameter ◽  
Zero Point ◽  
Angular Momenta ◽  
Noncommutative Quantum Mechanics ◽  
Planar Phase ◽  
Aharonov Bohm ◽  
Noncommutative Quantum

AbstractThe charged particle confined by a harmonic potential in a noncommutative planar phase space interacting with a homogeneous dynamical magnetic field and Aharonov-Bohm potentials is studied. We find that the canonical orbital angular momenta of the reduced models, which are obtained by setting the mass and a dimensionless parameter to zero, take fractional values. These fractional angular momenta are not only determined by the flux inside the thin long solenoid but also affected by the noncommutativities of phase space.

scholarly journals From Feynman proof of Maxwell equations to noncommutative quantum mechanics

2007 ◽  
Vol 70 ◽  
pp. 012004 ◽  
Author(s):  
A Bérard ◽  
H Mohrbach ◽  
J Lages ◽  
P Gosselin ◽  
Y Grandati ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Maxwell Equations ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics

2021 ◽  
pp. 168505
Author(s):  
S. Hasibul Hassan Chowdhury ◽  
Talal Ahmed Chowdhury ◽  
Arman Ud Duha
Keyword(s):  
Quantum Mechanics ◽  
Energy Spectra ◽  
Gauge Invariant ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals Non-Hermitian noncommutative quantum mechanics

2019 ◽  
Vol 134 (7) ◽  
Author(s):  
J. F. G. dos Santos ◽  
F. S. Luiz ◽  
O. S. Duarte ◽  
M. H. Y. Moussa
Keyword(s):  
Quantum Mechanics ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals MORSE POTENTIAL IN NONCOMMUTATIVE QUANTUM MECHANICS FRAMEWORK

2020 ◽  
Vol 9 (12) ◽  
pp. 10895-10902
Author(s):  
A.H. Nadhira ◽  
M.S. Nurisya ◽  
K.T. Chan
Keyword(s):  
Quantum Mechanics ◽  
Morse Potential ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals A Noncommutative Model of Cosmology with Two Metrics

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 435
Author(s):  
Horacio Falomir ◽  
Jorge Gamboa ◽  
Fernando Mendez
Keyword(s):  
Quantum Mechanics ◽  
Dark Energy ◽  
Equation Of State ◽  
Point Of View ◽  
Classical Analog ◽  
Noncommutative Quantum Mechanics ◽  
Friedmann Robertson Walker ◽  
Noncommutative Quantum

We propose a bicosmology model which reduces to the classical analog of noncommutative quantum mechanics. From this point of view, one of the sources in the so modified Friedmann-Robertson- Walker equations is a kind of dark energy governed by a Chapligyn-like equation of state. The parameters of noncommutativity θ and B are interpreted in terms of the Planck area and a magnetic-like field, which presumably acts as a seed for magnetogenesis.

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