Quantum delta-like potential acting in the P state

Tsirova, I. S.; Shirokov, Yu. M.

doi:10.1007/bf01032727

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Miscellaneous Methods1

{X} = {Xl~i} Where Xli(x) = Bt~(io)6(x -Xi)1

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2009

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Cited by 6 publications

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“…Nevertheless, there have been successful attempts to construct axiomatically suitable algebras -Shirokov's algebras [75,76,77,78,79], and they have been used to tackle the ZRP [80,81,82]. Antonevich [83] has also employed Colombeau's algebra of new generalized functions [73] to the problem of ZRP.…”

Section: Miscellaneous Methodsmentioning

confidence: 99%

An electron in the presence of multiple zero range potentials and an external laser field -- exact solutions for photoionization and stimulated bremsstrahlung

Bondar,

Murray,

Ivanov

2009

Preprint

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The method of zero range potential (ZRP) for one-electron problems is reviewed. In the absence of an external electromagnetic field, the notion of a ZRP is introduced from different points of view and for an arbitrary dimension of space. Then, three-dimensional problems of motion of an electron in the field of several ZRPs and laser radiation are studied. Exact wave functions for the processes of photoionization and stimulated bremsstrahlung in the presence of the laser field of an arbitrary pulse shape are obtained in the form of one-dimensional integral representations.

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Section: Miscellaneous Methodsmentioning

confidence: 99%

An electron in the presence of multiple zero range potentials and an external laser field -- exact solutions for photoionization and stimulated bremsstrahlung

Bondar,

Murray,

Ivanov

2009

Preprint

View full text Add to dashboard Cite

show abstract

“…The first models of this type appeared in multibody problems and were formulated in terms of pseudopotentials in the context of the Hartrey-Fock theory (see [15,16], for example). In operator terms, the simplest model was considered in [17,18]. It was shown there that spaces with indefinite metric appear in this model.…”

Section: {X} = {Xl~i} Where Xli(x) = Bt~(io)6(x -Xi)mentioning

confidence: 98%