Quantum solitons of the nonlinear Schrödinger field as Galilean particles

DOI10.1063/1.526336zbMath0557.35100OpenAlexW2114109945MaRDI QIDQ3222630

Luis Martínez-Alonso

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526336

zbMATH Keywords

unitary representationinverse scattering methodGalilean invarianceboson fieldsquantum nonlinear Schrödinger fieldquantum solitons

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Quantum scattering theory (81U99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics
• Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system
• Study of Exactly Soluble One-Dimensional N-Body Problems

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