Physics NotePublished
Phenomenological Quantization Scheme in Nonlinear Schrödinger Equation
J.N. Maki; T. Kodama
1986
Publication details
- Authors
- J.N. Maki; T. Kodama
- Type
- Physics Note
- Status
- Published
- Publication date
- 1986
- Description
- A phenomenological quantization scheme is carried out for the collision process of two identical solitons of the nonlinear Schrödinger equation. The effective potential is determined from the classical expression for the time-delay, and the corresponding S matrix is calculated for the quantum scattering of the two centers of masses of solitons. It is shown that this S matrix reproduces the exact S matrix of the quantum many body problem as well as the ground state binding energy of the system for large particle number, but it is not adequate to describe the scattering process for low energy region.
- Year
- 1986
- Number
- CBPF-NF-013/86
- Linked to a thesis
- No
- Linked to a grant
- No