Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators. II: The use of mathematical fluctuation theory

DOI10.1007/s10910-014-0381-6zbMath1306.81049OpenAlexW2031190378MaRDI QIDQ460981

Muzaffer Ayvaz, Metin Demiralp

Publication date: 9 October 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0381-6

zbMATH Keywords

quantum mechanicsexpectation value dynamicsKronecker power seriesprobabilistic evolution approachEhrenfest theoremmathematical fluctuation theoryquantal cumulant dynamicsquantized Hamilton dynamics

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (5)

Promenading in the enchanted realm of Kronecker powers: single monomial probabilistic evolution theory (PREVTH) in evolver dynamics ⋮ Somehow emancipating probabilistic evolution theory (PREVTH) from singularities via getting single monomial PREVTH ⋮ Using enchanted features of constancy adding space extension (CASE) to reduce the dimension of evolver dynamics: single monomial probabilistic evolution theory ⋮ Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators. I: Integral representation of Kronecker power series and multivariate Hausdorff moment problems ⋮ Probabilistic evolution theory for the solution of explicit autonomous ordinary differential equations: squarified telescope matrices

Cites Work

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• A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective
• A probabilistic evolution approach trilogy. II: Spectral issues for block triangular evolution matrix, singularities, space extension

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