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 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 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 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
Sign in / Sign up

Export Citation Format

Share Document