More quantum centrifugal effect in rotating frame
Abstract
The behaviour of quantum systems in noninertial frames is revisited from the point of view of affine coherent state (ACS) quantization. We restrict our approach to the oneparticle dynamics confined in a rotating plane about a fixed axis. This plane is considered as punctured due to the existence of the rotation center, which is viewed as a singularity. The corresponding phase space is the affine group of the plane and the ACS quantization enables us to quantize the system by respecting the affine symmetry of the true phase space. Our formulation predicts the appearance of an additional quantum centrifugal term, besides the usual angularmomentum one, which prevents the particle to reach the singular rotation center. Moreover it helps us to understand why two different noninertial Schrödinger equations are obtained in previous works. The validity of our equation can be confirmed experimentally by observing the harmonic oscillator bound states and the critical angular velocity for their existence.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 June 2017
 DOI:
 10.1209/02955075/118/50004
 arXiv:
 arXiv:1704.02832
 Bibcode:
 2017EL....11850004G
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory;
 Nuclear Theory
 EPrint:
 5 pages, no figure, references are added