dorsal/arxiv
View SchemaComments on the nonlinear Schrodinger equation
| Authors | Mark P. Davidson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106124 |
| URL | https://arxiv.org/abs/quant-ph/0106124 |
| Journal | Nuovo Cimento. B; ISSN 0369-3554; Worldcat; CODEN NCIBAW; v. 116BS12(11); p. 1291-1295; 2001 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
A proof is given that if the nonlinear Schrodinger wave function is constrained to have support over only a finite volume in configuration space, then the total energy is bounded from below for either sign of the logarithmic term in the Hamiltonian. It is concluded that the usual assumption about the sign of the logarithmic term made by Bialynicki-Birula and Mycielski is not the only possibility, and that a sensible theory can be made with the opposite sign as well.
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"abstract": "A proof is given that if the nonlinear Schrodinger wave function is\nconstrained to have support over only a finite volume in configuration space,\nthen the total energy is bounded from below for either sign of the logarithmic\nterm in the Hamiltonian. It is concluded that the usual assumption about the\nsign of the logarithmic term made by Bialynicki-Birula and Mycielski is not the\nonly possibility, and that a sensible theory can be made with the opposite sign\nas well.",
"arxiv_id": "quant-ph/0106124",
"authors": [
"Mark P. Davidson"
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"quant-ph"
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"journal_ref": "Nuovo Cimento. B; ISSN 0369-3554; Worldcat; CODEN NCIBAW; v.\n 116BS12(11); p. 1291-1295; 2001",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Comments on the nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/quant-ph/0106124"
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