The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space

Yakup, Rehimhaji; Dulat, Sayipjamal; Li, Kang; Hekim, Mamatabdulla

doi:10.1007/s10773-013-1937-0

Cited by 2 publications

(2 citation statements)

References 30 publications

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“…Studies of physical systems in noncommutative space give a possibility to find influence of noncommutativity on their properties and to estimate the values of parameters of noncommutativity. Many physical problems were examined in the space, among them for example are harmonic oscillator [4,5,6,7,8,9,10,11,12] Landau problem [13,14,15,16], hydrogen atom [17,18,19,20,21,22,23,24,25,26,27,28,29,30,31], gravitational quantum well [32,33] classical systems with various potentials [34,35,36,37], manyparticle systems [17,18,38,39,40,41,42,43] and many others. At the same time it is important to study fundamental principles in noncommutative space, among them the weak equivalence principle.…”

Section: Introductionmentioning

confidence: 99%

Influence of Noncommutativity on the Motion of Sun-Earth-Moon System and the Weak Equivalence Principle

Gnatenko

Tkachuk

2018

Int J Theor Phys

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Features of motion of macroscopic body in gravitational field in a space with noncommutativity of coordinates and noncommutativity of momenta are considered in general case when coordinates and momenta of different particles satisfy noncommutative algebra with different parameters of noncommutativity. Influence of noncommutativity on the motion of three-body Sun-Earth-Moon system is examined. We show that because of noncommutativity the free fall accelerations of the Moon and the Earth toward the Sun in the case when the Moon and the Earth are at the same distance to the source of gravity are not the same even if gravitational and inertial masses of the bodies are equal. Therefore, the Eotvos-parameter is not equal to zero and the weak equivalence principle is violated in noncommutative phase space. We estimate the corrections to the Eotvos-parameter caused by noncommutativity on the basis of Lunar laser ranging experiment results. We obtain that with high precision the ratio of parameter of momentum noncommutativity to mass is the same for different particles.

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Section: Introductionmentioning

confidence: 99%

Influence of Noncommutativity on the Motion of Sun-Earth-Moon System and the Weak Equivalence Principle

Gnatenko

Tkachuk

2018

Int J Theor Phys

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“…Also Yakup and Dulat [33] studied the Harmonic oscillator influenced by gravitational wave in noncommutative quantum phase space. Ma et al [34] investigated the time-dependent Aharonov-Bohm effect on the NCS.…”

Section: Introductionmentioning

confidence: 99%

Aharonov-Bohm Phase for an Electric Dipole on a Noncommutative Space

Ababekri

Anwar

Hekim³

et al. 2016

Front. Phys.

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We study the non-relativistic behavior of a particle with electric dipole moment and interacting with external electromagnetic fields on a noncommutative space (NCS). For a special configuration of the field, the phase of an electric dipole is derived as an application of the Aharonov-Bohm effect to a system composed of two charges. We find that the quantum phase for an electric dipole obtains some corrections, and these corrections depend on the noncommutative parameter explicitly.

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The Harmonic Oscillator Influenced by Gravitational Wave in Noncommutative Quantum Phase Space

Cited by 2 publications

References 30 publications

Influence of Noncommutativity on the Motion of Sun-Earth-Moon System and the Weak Equivalence Principle

Influence of Noncommutativity on the Motion of Sun-Earth-Moon System and the Weak Equivalence Principle

Aharonov-Bohm Phase for an Electric Dipole on a Noncommutative Space

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