Equivalence principle in context of large uniform acceleration - a quantum mechanical perspective

Abstract

We study the effect of large acceleration of an uniformly accelerated frame on the validity of weak equivalence principle. Specifically we demonstrate how the behaviour of free quantum particle, as observed by an observer with large uniform acceleration, completely changes from that of a quantum particle emmarsed in a uniform gravitational field. We also extend our analysis to the simplest noncommutative space scenario to show that while spatial noncommutativity does not affect the quantum particle in a gravitational field, it does alter the energy eigenvalues of a quantum particle as seen from a frame with very large uniform acceleration.

7 pages, laTex, no figure

References in corpus (7)

• Noncommutative Point Sources
• Remarks on the Noncommutative Gravitational Quantum Well
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
• Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Schrödinger Equation of a particle in an Uniformly Accelerated Frame and the Possibility of a New kind of Quanta

Cited by in corpus (6)

• Parameters of noncommutativity in Lie-algebraic noncommutative space
• Signatures of noncommutativity in bar detectors of gravitational waves
• Squeezed coherent states for gravitational well in noncommutative space
• Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space
• Features of description of composite system's motion in twist-deformed space-time
• Hilbert's forgotten equation, the equivalence principle and velocity dependence of free fall