Self-adjoint extensions and unitary operators on the boundary
Sign Up to like & getrecommendations! Published in 2017 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-017-1001-8
Abstract: We establish a bijection between the self-adjoint extensions of the Laplace operator on a bounded regular domain and the unitary operators on the boundary. Each unitary encodes a specific relation between the boundary value of… read more here.
Keywords: adjoint extensions; operators boundary; boundary self; unitary operators ... See more keywords
Spectral asymptotics of semiclassical unitary operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.015
Abstract: This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semiclassical unitary operators. We prove, under minimal assumptions, that the semiclassical… read more here.
Keywords: unitary operators; semiclassical unitary; spectral asymptotics; asymptotics semiclassical ... See more keywords
Experimental test of uncertainty relations for general unitary operators.
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DOI: 10.1364/oe.25.017904
Abstract: Uncertainty relations are the hallmarks of quantum physics and have been widely investigated since its original formulation. To understand and quantitatively capture the essence of preparation uncertainty in quantum interference, the uncertainty relations for unitary… read more here.
Keywords: relations general; uncertainty relations; uncertainty; experimental test ... See more keywords
Sufficient conditions on nonunitary operators that imply the unitary operators
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DOI: 10.3906/mat-1601-100
Abstract: In this paper, we give sufficient conditions on nonunitary operators on the Bergman space that imply the unitary operators. read more here.
Keywords: imply unitary; operators imply; nonunitary operators; conditions nonunitary ... See more keywords