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Showing 2006 · math.PRShow all
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math.PR2006
Image of the spectral measure of a Jacobi field and the corresponding operators
Yurij M. Berezansky, Eugene W. Lytvynov, Artem D. Pulemyotov
By definition, a Jacobi field is a family of commuting selfadjoint three-diagonal operators in the Fock space . The operators are indexe…
math.PR2006
On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR
Eugene Lytvynov, Lin Mei
Let be a locally compact, second countable Hausdorff topological space. We consider a family of commuting Hermitian operators indexed by all measurable, relatively compa…