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On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles.

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Publication:556524
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DOI10.1023/B:MATN.0000043458.91218.7bzbMath1085.81042OpenAlexW2092825359MaRDI QIDQ556524

V. Zh. Sakbaev, Grigori G. Amosov

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000043458.91218.7b


zbMATH Keywords

quantum stochastic differential equationMarkovian cocycle


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum stochastic calculus (81S25)


Related Items

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization



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