Darboux integration of \(i\dot\rho=[H,f(\rho)]\)

DOI10.1016/S0375-9601(01)00013-5zbMath0972.81024arXivquant-ph/0005030WikidataQ62607656 ScholiaQ62607656MaRDI QIDQ1595765

Sergiej B. Leble, Marek Czachor, Maciej Kuna, Nikolai V. Ustinov

Publication date: 13 February 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0005030

zbMATH Keywords

infinite-dimensional solutionnonlinear von Neumann equationsself-scattering solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Necessary covariance conditions for a one-field Lax pair ⋮ Darboux covariant equations of von Neumann type and their generalizations ⋮ Evolving states in nonlocal type dynamics of composite systems ⋮ Spectra of nonlocally bound quantum systems ⋮ Two-State Dynamics for Replicating Two-Strand Systems ⋮ Systems, environments, and soliton rate equations: toward realistic modeling ⋮ Stationary states in nonlocal type dynamics of composite systems

Cites Work

• On the construction of monopoles
• Elementary and binary Darboux transformations at rings
• Nonlinear von Neumann-type equations: Darboux invariance and spectra
• Nambu-type generalization of the Dirac equation
• The reduced self-dual Yang–Mills equation, binary and infinitesimal Darboux transformations
• Euler-Poisson Equations on Lie Algebras and the N-Dimensional Heavy Rigid Body
• An algebraic method to construct the Darboux matrix
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