Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics

2016 ◽  
Vol 55 (7) ◽  
pp. 3226-3233 ◽  
Author(s):  
Mamatabdulla Hekim ◽  
Abduwali Anwar ◽  
Jianhua Wang
Keyword(s):  
Quantum Mechanics ◽  
Multipole Moment ◽  
Quantum Phase ◽  
Noncommutative Quantum Mechanics ◽  
Electric Multipole Moment ◽  
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

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.

INVARIANT EIGEN-OPERATOR METHOD OF DERIVING ENERGY-LEVEL GAP FOR NONCOMMUTATIVE QUANTUM MECHANICS

2005 ◽  
Vol 20 (09) ◽  
pp. 691-698 ◽  
Author(s):  
SI-CONG JING ◽  
HONG-YI FAN
Keyword(s):  
Quantum Mechanics ◽  
Energy Level ◽  
Operator Method ◽  
Simple Algebra ◽  
New Method ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

We propose a new method to derive energy-level gap for Hamiltonians in the context of noncommutative quantum mechanics (NCQM). This method relies on finding invariant eigen-operators whose commutators with Hamiltonian are still the operators themselves but with some eigenvalue-like coefficients, which correspond to the energy-level gaps of the systems. Based on this method, only after some simple algebra, we derive the energy-level gaps for several important systems in NCQM, and most of these results have not been reported in literature so far.

scholarly journals CONSISTENT DEFORMED BOSONIC ALGEBRA IN NONCOMMUTATIVE QUANTUM MECHANICS

2008 ◽  
Vol 23 (09) ◽  
pp. 1393-1403 ◽  
Author(s):  
JIAN-ZU ZHANG
Keyword(s):  
Quantum Mechanics ◽  
Weyl Algebra ◽  
Fock Space ◽  
General Relation ◽  
Noncommutative Space ◽  
Two Dimensional ◽  
Noncommutative Quantum Mechanics ◽  
Commutative Space ◽  
Creation Operators ◽  
Noncommutative Quantum

In two-dimensional noncommutative space for the case of both position–position and momentum–momentum noncommuting, the consistent deformed bosonic algebra at the nonperturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the deformed Heisenberg–Weyl algebra with the deformed bosonic algebra. A Fock space is found, in which all calculations can be similarly developed as if in commutative space and all effects of spatial noncommutativity are simply represented by parameters.

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