Please use this identifier to cite or link to this item:
https://doi.org/10.1103/PhysRevD.86.084053
DC Field | Value | |
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dc.title | Constraints and spectra of a deformed quantum mechanics | |
dc.contributor.author | Ching, C.-L. | |
dc.contributor.author | Parwani, R.R. | |
dc.contributor.author | Singh, K. | |
dc.date.accessioned | 2014-05-19T02:50:49Z | |
dc.date.available | 2014-05-19T02:50:49Z | |
dc.date.issued | 2012-10-31 | |
dc.identifier.citation | 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 | |
dc.identifier.issn | 15507998 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/52843 | |
dc.description.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. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevD.86.084053 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | PHYSICS | |
dc.contributor.department | DEAN'S OFFICE (SCIENCE) | |
dc.description.doi | 10.1103/PhysRevD.86.084053 | |
dc.description.sourcetitle | Physical Review D - Particles, Fields, Gravitation and Cosmology | |
dc.description.volume | 86 | |
dc.description.issue | 8 | |
dc.description.page | - | |
dc.description.coden | PRVDA | |
dc.identifier.isiut | 000310436400004 | |
Appears in Collections: | Staff Publications |
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