NONLINEAR SCHRODINGER-EQUATION ON A CIRCLE

Authors
SMONDYREV MA VANSANT P PEETERS FM DEVREESE JT
Citation
Ma. Smondyrev et al., NONLINEAR SCHRODINGER-EQUATION ON A CIRCLE, Physical review. B, Condensed matter, 52(15), 1995, pp. 11231-11237
Citations number
21
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
52
Issue
15
Year of publication
1995
Pages
11231 - 11237
Database
ISI
SICI code
0163-1829(1995)52:15<11231:NSOAC>2.0.ZU;2-Y
Abstract
The nonlinear Schrodinger equation is solved on an infinitesimal thin ring or circle. We obtained the exact real wave functions with their c orresponding energies for the ground state and the excited states. Cri tical values of the circle perimeter are found at which the ground sta te 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.