Equivalent Hamiltonian method in coherent solitons theory
| Autor: | B. S. Tošić, Lj.D. Mašković |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Physics
Coupling constant Scattering Phonon General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Condensed Matter::Materials Science Phase factor Nonlinear system Quantum electrodynamics Quantum mechanics Wave vector Soliton Phase velocity |
| Zdroj: | Chaos, Solitons & Fractals. 4:1211-1219 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/0960-0779(94)90032-9 |
| Popis: | Using Frohlich transformations, a system of interacting excitons and phonons, is substituted by an equivalent system of interacting excitons. It was concluded, by this approach that solitons can be formed only by coherent excitons. It was also shown, that restrictions on the boundary wave vector of excitons, which can form the solitons, are more strict than in the standard approach. Due to this restriction we eliminate the difficulty appearing in the standard approach manifesting itself in the enormously high nonlinear corrections of spectrum in the range in which phase velocity of excitons and velocity of sound are very close. The equivalent Hamiltonian method also corrects the standard phase factor of soliton wave packets for the rate which is proportional to the square of the ratio of the exciton-phonon coupling constant to the bandwidth. This correction could be important for analysis of soliton scattering processes. |
| Databáze: | OpenAIRE |
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