Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves

Journal Article · Sat Jan 15 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.025004· OSTI ID:21503978

Saha, Anirban; Gangopadhyay, Sunandan; Saha, Swarup ^[1]; Debipur, Duttapukur 743248 ^[2]

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1. Department of Physics and Astrophysics, West Bengal State University, Barasat, North 24 Paraganas, West Bengal (India)
2. India

We consider the quantum dynamics of a harmonic oscillator in noncommutative space under the influence of linearized gravitational waves (GWs) in the long-wavelength and low-velocity limit. Following the prescription in Saha and Gangopadhyay [Phys. Lett. B 681, 96 (2009)] we quantize the system. The Hamiltonian of the system is solved by using standard algebraic iterative methods. The solution shows signatures of the coordinate noncommutativity via alterations in the oscillation frequency of the harmonic oscillator system from its commutative counterpart. Moreover, it is found that the response of the harmonic oscillator to periodic GWs, when their frequencies match, will oscillate with a time scale imposed by the noncommutative parameter. We expect this noncommutative signature to show up as some noise source in the GW detection experiments since the recent phenomenological upper bounds set on the spatial noncommutative parameter imply a length scale comparable to the length variations due to the passage of gravitational waves, detectable in the present-day GW detectors.

• OSTI ID: 21503978
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
COMMUTATION RELATIONS
DETECTION
GRAVITATIONAL WAVES
HAMILTONIANS
HARMONIC OSCILLATORS
ITERATIVE METHODS
MATHEMATICAL OPERATORS
MECHANICS
NOISE
OSCILLATIONS
PERIODICITY
QUANTUM MECHANICS
QUANTUM OPERATORS
VARIATIONS
VELOCITY
WAVELENGTHS