Solution of Some Differential Equations of Quantum Physics by the Numerical Functional Integration Method

DOI10.2478/CMAM-2003-0035zbMath1037.81060OpenAlexW2066826076MaRDI QIDQ4451461

Yu. Yu. Lobanov, E. P. Zhidkov

Publication date: 26 February 2004

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2003-0035

zbMATH Keywords

Wiener measuredensity matrixcomputationspropagatorbinding energyopen quantum systemsapproximation formulaopen quantum systemfunctional integralimaginary timeanticommuting variablesfunctional integrals in abstract complete separable metric spacesLindblad differential equationmany fermion systems

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Computational methods for problems pertaining to quantum theory (81-08) Many-body theory; quantum Hall effect (81V70) Quantum stochastic calculus (81S25) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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