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Title
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Nonlinear Schrödinger equation on a circle
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Author
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Abstract
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| The nonlinear Schrodinger equation is solved on an infinitesimal thin ring or circle. We obtained the exact real wave functions with their corresponding energies for the ground state and the excited states. Critical values of the circle perimeter are found at which the ground state changes its structure and additional higher excited states appear. Also, the complex wave functions that correspond to energy levels with finite angular momentum are studied. |
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Language
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English
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Source (journal)
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Physical review : B : condensed matter. - New York, N.Y., 1978 - 1997
Physical review : B : condensed matter and materials physics. - Lancaster, Pa, 1998 - 2015
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Publication
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New York, N.Y.
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1995
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ISSN
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0163-1829
[print]
1095-3795
[online]
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DOI
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10.1103/PHYSREVB.52.11231
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Volume/pages
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52
:15
(1995)
, p. 11231-11237
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ISI
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A1995TA85200087
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Full text (Publisher's DOI)
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Full text (open access)
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