Volume 120, Number 3, November 2017
|Number of page(s)||6|
|Published online||19 January 2018|
Quantum mechanics of a particle in an accelerated frame and the equivalence principle
1 Department of Physics, West Bengal State University, Barasat - Kolkata 700126, India
2 Department of Physical Sciences, Indian Institute of Science Education & Research Kolkata, Mohanpur 741246, Nadia, India
3 Visiting Associate in Inter University Centre for Astronomy & Astrophysics - Pune 411007, India
Received: 3 September 2017
Accepted: 3 January 2018
We study the effect of acceleration of a uniformly accelerated frame on the free-particle dynamics in a quantum domain. Specifically we demonstrate how the behaviour of a free quantum particle, as observed by an observer with uniform acceleration, completely changes from that of a quantum particle immersed 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 uniform acceleration.
PACS: 03.65.-w – Quantum mechanics / 11.10.Nx – Noncommutative field theory
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