Please use this identifier to cite or link to this item: https://doi.org/10.1209/0295-5075/80/30004
Title: Can degenerate bound states occur in one-dimensional quantum mechanics?
Authors: Kar, S.
Parwani, R.R. 
Issue Date: 1-Nov-2007
Citation: Kar, S., Parwani, R.R. (2007-11-01). Can degenerate bound states occur in one-dimensional quantum mechanics?. EPL 80 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1209/0295-5075/80/30004
Abstract: We point out that bound states, degenerate in energy but differing in parity, may form in one-dimensional quantum systems even if the potential is non-singular in any finite domain. Such potentials are necessarily unbounded from below at infinity and occur in several different contexts, such as in the study of localised states in brane-world scenarios. We describe how to construct large classes of such potentials and give explicit analytic expressions for the degenerate bound states. Some of these bound states occur above the potential maximum while some are below. Various unusual features of the bound states are described and after highlighting those that are ansatz independent, we suggest that it might be possible to observe such parity-paired degenerate bound states in specific mesoscopic systems. © Europhysics Letters Association.
Source Title: EPL
URI: http://scholarbank.nus.edu.sg/handle/10635/95918
ISSN: 02955075
DOI: 10.1209/0295-5075/80/30004
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