Higher conservation laws for the quantum nonlinear Schrödinger equation

DOI10.1016/0378-4371(90)90126-DzbMath0717.35085OpenAlexW2963320378MaRDI QIDQ2638446

Yanyan Li

Publication date: 1990

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(90)90126-d

zbMATH Keywords

conservation lawsinverse scattering methodquasi-classical limit

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (10)

Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments ⋮ Stationary state after a quench to the Lieb-Liniger from rotating BECs ⋮ Poisson commuting energies for a system of infinitely many bosons ⋮ Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrödinger model ⋮ Quench dynamics of a Tonks–Girardeau gas released from a harmonic trap ⋮ Interaction quench in a Lieb–Liniger model and the KPZ equation with flat initial conditions ⋮ The Quench Action ⋮ Quasilocal charges in integrable lattice systems ⋮ Higher charges and regularized quantum trace identities in su(1,1) Landau–Lifshitz model ⋮ Generalized hydrodynamics of the KdV soliton gas

Cites Work

• Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation
• Conservation laws for the nonlinear Schrödinger equation
• The quantum Gelfand-Levitan equation and nonlinear Schrodinger equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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