Quantum stochastic differential equation for unstable systems

DOI10.1063/1.1310357zbMath0973.81063arXivmath-ph/0512078OpenAlexW1963526142WikidataQ115334084 ScholiaQ115334084MaRDI QIDQ2738247

Vyacheslav P. Belavkin, Przemysław Staszewski

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0512078

zbMATH Keywords

contractionquantum Zeno effectPoisson lawunitary dilationspontaneous collapsesemiclassical non-Hamiltoniantransition of pure states to reduced ones

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Quantum stochastic calculus (81S25)

Related Items (3)

On Doob h-transformations for finite-time quantum state reduction ⋮ Markov chains approximation of jump-diffusion stochastic master equations ⋮ Existence, uniqueness and approximation of the jump-type stochastic Schrödinger equation for two-level systems

Cites Work

• Unnamed Item
• Quantum Ito's formula and stochastic evolutions
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum stochastic positive evolutions: Characterization, construction, dilation
• Difficulty with a kinematic concept of unstable particles: the Sz.-Nagy extension and the Matthews-Salam-Zwanziger representation
• The Inverse Decay Problem

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