Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevD.86.084053
Title: Constraints and spectra of a deformed quantum mechanics
Authors: Ching, C.-L.
Parwani, R.R. 
Singh, K. 
Issue Date: 31-Oct-2012
Source: Ching, C.-L.,Parwani, R.R.,Singh, K. (2012-10-31). Constraints and spectra of a deformed quantum mechanics. Physical Review D - Particles, Fields, Gravitation and Cosmology 86 (8) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevD.86.084053
Abstract: We examine a deformed quantum mechanics in which the commutator between coordinates and momenta is a function of momenta. The Jacobi identity constraint on a two-parameter class of such modified commutation relations (MCR's) shows that they encode an intrinsic maximum momentum; a subclass of which also implies a minimum position uncertainty. Maximum momentum causes the bound state spectrum of the one-dimensional harmonic oscillator to terminate at finite energy, whereby classical characteristics are observed for the studied cases. We then use a semiclassical analysis to discuss general concave potentials in one dimension and isotropic power-law potentials in higher dimensions. Among other conclusions, we find that in a subset of the studied MCR's, the leading order energy shifts of bound states are of opposite sign compared to those obtained using string-theory motivated MCR's, and thus these two cases are more easily distinguishable in potential experiments. © 2012 American Physical Society.
Source Title: Physical Review D - Particles, Fields, Gravitation and Cosmology
URI: http://scholarbank.nus.edu.sg/handle/10635/52843
ISSN: 15507998
DOI: 10.1103/PhysRevD.86.084053
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

14
checked on Dec 12, 2017

Page view(s)

61
checked on Dec 15, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.