Comments on the nonlinear Schrodinger equation

Details Comments on the nonlinear Schrodinger equation Comments on the nonlinear Schrodinger equation

2001-06-22

arxiv.org/abs/quant-ph/0106124v1

Physics

Quantum Physics

4 pages

Scientific paper

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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