Quantum dynamics in the Fermi-Pasta-Ulam problem

DOI10.1007/s10773-006-9155-7zbMath1106.81028OpenAlexW1970746724MaRDI QIDQ867211

Nikolai N. Tarkhanov, Gennady P. Berman

Publication date: 15 February 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9155-7

zbMATH Keywords

asymptoticsCauchy problemFuchs-type equationsnarrow packet approximationquantum chain of oscillatorswave decay processes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of plasmas (82D10) Initial value problems for linear first-order PDEs (35F10)

Related Items (2)

The Fermi–Pasta–Ulam problem: Fifty years of progress ⋮ On the stability of a quantum dynamics of a Bose-Einstein condensate trapped in a one-dimensional toroidal geometry

Cites Work

• Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices
• Method of quasiclassical approximation for \(c\)-number projection in coherent states basis
• Long time evolution of quantum averages near stationary points
• The rigidity of sine‐gordon breathers
• The Fermi–Pasta–Ulam problem: Fifty years of progress
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