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• W1830222722 abstract "For nonpositive singular potentials in quantum mechanics it can happen that the Schrodinger operator is not essentially self-adjoint on a natural domain of definition or not semibounded from below. In this case we have a lot of self-adjoint extensions each of them is a candidate for the right physical Hamiltonian of the system. Hence the problem arises to single out the right physical self-adjoint extension. Usually this problem is solved as follows. At first one has to approximate the singular potential by a sequence of bounded potentials (cut-off approximation). After that one has to show that the arising sequence of Schrodinger operators converges in the strong resolvent sense to one of the self-adjoint extensions if the cut-off approximation tends to the singular potential. The so determined self-adjoint extensions is regarded as the right physical Hamiltoninan. Very often the right physical Hamiltonian coincides with the Friedrichs extension." @default.
• W1830222722 created "2016-06-24" @default.
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• W1830222722 date "1994-01-01" @default.
• W1830222722 modified "2023-09-30" @default.
• W1830222722 title "Singular perturbations, regularization and extension theory" @default.
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• W1830222722 doi "https://doi.org/10.1007/978-3-0348-8545-4_36" @default.
• W1830222722 hasPublicationYear "1994" @default.
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