Trace class operators and states in p-adic quantum mechanics
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DOI: 10.1063/5.0134965
Abstract: Within the framework of quantum mechanics over a quadratic extension of the non-Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a general algebraic approach and on a p-adic… read more here.
Keywords: quantum; trace class; class operators; quantum mechanics ... See more keywords
On the Trace-Class Property of Hankel Operators Arising in the Theory of the Korteweg–de Vries Equation
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DOI: 10.1134/s0001434618090067
Abstract: The trace-class property of Hankel operators (and their derivatives with respect to the parameter) with strongly oscillating symbol is studied. The approach used is based on Peller’s criterion for the trace-class property of Hankel operators… read more here.
Keywords: hankel operators; trace class; class property; property hankel ... See more keywords
Estimating the spectral gap of a trace-class Markov operator
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DOI: 10.1214/19-ejs1563
Abstract: The utility of a Markov chain Monte Carlo algorithm is, in large part, determined by the size of the spectral gap of the corresponding Markov operator. However, calculating (and even approximating) the spectral gaps of… read more here.
Keywords: spectral gap; trace class; markov operator; markov ... See more keywords