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Singular Quadratic Forms in Perturbation Theory - Volodymyr Koshmanenko

Singular Quadratic Forms in Perturbation Theory

By: Volodymyr Koshmanenko

eText | 6 December 2012

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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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Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsSciencePhysicsNuclear PhysicsQuantum Physics & Quantum Mechanics & Quantum Field Theory

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