Stochastic optimal control and quantum mechanics

DOI10.1063/1.525488zbMath0492.70017OpenAlexW2037210184MaRDI QIDQ3954869

Lech S. Papież

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525488

zbMATH Keywords

dynamic programmingstochastic optimal controlSchrödinger equation

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Optimal stochastic control (93E20) Schrödinger operator, Schrödinger equation (35J10) Stochastic mechanics (including stochastic electrodynamics) (81P20) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (6)

Loop quantum gravity with optimal control path integral, and application to black hole tunneling ⋮ Optimal control design for a class of quantum stochastic systems with financial applications ⋮ Solving quantum stochastic LQR optimal control problem in Fock space and its application in finance ⋮ An interpretation of the Schrödinger equation in quantum mechanics from the control-theoretic point of view ⋮ Sufficiency conditions for existence of an optimal feedback control in stochastic mechanics ⋮ Derivation of the non-linear Schrödinger equation from stochastic optimal control

Cites Work

• From the main equation to the Klein-Gordon equation

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