Self-adjoint Extensions in Quantum Mechanics General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials / by D.M. Gitman, I.V. Tyutin, B.L. Voronov.
Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is ba...
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