Nonlinear Schrödinger soliton impinging on a potential step

It is shown that a nonlinear Schrödinger soliton with a constant speed hitting an infinite potential barrier bounces back without being broken however large the speed is. When the potential step is finite the soliton again behaves almost like a classical particle. Some subtle departures from classic...

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Bibliographic Details
Published in:Physics letters. A 1994-01, Vol.184 (3), p.245-250
Main Authors: Nogami, Y., Toyama, F.M.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of discrete systems: general mathematical aspects
Exact sciences and technology
Function theory, analysis
Functional analytical methods
Mathematical methods in physics
Partial differential equations
Physics
Quantum mechanics
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Summary:It is shown that a nonlinear Schrödinger soliton with a constant speed hitting an infinite potential barrier bounces back without being broken however large the speed is. When the potential step is finite the soliton again behaves almost like a classical particle. Some subtle departures from classical particle mechanics are discussed.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(94)90383-2