Nonlinear Schrödinger equation on a circle
- 15 October 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 52 (15) , 11231-11237
- https://doi.org/10.1103/physrevb.52.11231
Abstract
The nonlinear Schrödinger 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.Keywords
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