Cover of Volodymyr Koshmanenko: Singular Quadratic Forms in Perturbation Theory

Volodymyr Koshmanenko Singular Quadratic Forms in Perturbation Theory

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Springer Netherlands

2012

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978-94-011-4619-7

94-011-4619-5

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The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense. Numerous physical models are based on the use of Hamiltonians containing perturba- tion terms with singular properties. Typical examples of such expressions are Schrodin- ger operators with O-potentials (-~ + AD) and Hamiltonians in quantum field theory with perturbations given in terms of operators of creation and annihilation (P(

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