General Theory and Applications to Schrdinger and Dirac Equations with Singular Potentials
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Köp båda 2 för 2457 krThis book contains a systematic analysis of the formalisms of quantum electro dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is no...
From the reviews: In an infinite-dimensional Hilbert space a symmetric, unbounded operator is not necessarily self-adjoint. The monograph by Gitman, Tyutin and Voronov is devoted to this problem. Its aim is to provide students and researchers in mathematical and theoretical physics with mathematical background on the theory of self-adjoint operators. (Rupert L. Frank, Mathematical Reviews, February, 2013)
Introduction.- Linear Operators in Hilbert Spaces.- Basics of Theory of s.a. Extensions of Symmetric Operators.- Differential Operators.- Spectral Analysis of s.a. Operators.- Free One-Dimensional Particle on an Interval.- One-Dimensional Particle in Potential Fields.- Schrdinger Operators with Exactly Solvable Potentials.- Dirac Operator with Coulomb Field.- Schrdinger and Dirac Operators with Aharonov-Bohm and Magnetic-Solenoid Fields.