Quantum dissipative systems. III: Definition and algebraic structure

DOI10.1007/BF02630369zbMath0930.70017MaRDI QIDQ1280820

Vasily E. Tarasov

Publication date: 14 February 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Jacobi identityevolution equationscorrespondence principleHeisenberg-Weyl algebraLie subalgebravon Neumann equationanticommutative non-Lie algebrasdissipative non-Hamiltonian systemsquantum analog of Liouville equationquantum commutation relationsself-consistent description

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS, Stationary solutions of Liouville equations for non-Hamiltonian systems, Quantum dissipative systems. IV: Analogues of Lie algebras and groups

Cites Work

• Quantum dissipative systems. I: Canonical quantization and quantum Liouville equation
• TWO-LOOP BETA-FUNCTION FOR NONLINEAR SIGMA-MODEL WITH AFFINE METRIC MANIFOLD
• No Lagrangian? No quantization!
• Dissipative quantum dynamics: solution of the generalized von Neumann equation for the damped harmonic oscillator
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