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TMF, 1981, Volume 46, Number 3, Pages 310–315 (Mi tmf2336)  

This article is cited in 4 scientific papers (total in 4 papers)

Quantum delta-like potential acting in the $P$ state

I. S. Tsirova, Yu. M. Shirokov


Abstract: A Schrödinger equation with delta-like potential acting in the state with $l=1$ is formulated. The solutions of this equation agree with the solutions obtained in an earlier paper [1] by a different method for arbitrary $l$. It is established that the metric in the state-vector space is positive for continuum states and negative for a bound state. Therefore, for an attractive potential a bound state should be eliminated from the state space.

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English version:
Theoretical and Mathematical Physics, 1981, 46:3, 203–206

Bibliographic databases:

Received: 17.07.1980

Citation: I. S. Tsirova, Yu. M. Shirokov, “Quantum delta-like potential acting in the $P$ state”, TMF, 46:3 (1981), 310–315; Theoret. and Math. Phys., 46:3 (1981), 203–206

Citation in format AMSBIB
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\by I.~S.~Tsirova, Yu.~M.~Shirokov
\paper Quantum delta-like potential acting in the $P$~state
\jour TMF
\yr 1981
\vol 46
\issue 3
\pages 310--315
\mathnet{http://mi.mathnet.ru/tmf2336}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=622511}
\zmath{https://zbmath.org/?q=an:0466.46043}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 3
\pages 203--206
\crossref{https://doi.org/10.1007/BF01032727}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981MN84000004}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. K. Tolokonnikov, “Shirokov algebras. I”, Theoret. and Math. Phys., 51:3 (1982), 554–561  mathnet  crossref  mathscinet  zmath  isi  elib
    2. G. K. Tolokonnikov, “Differential rings used in Shirokov algebras”, Theoret. and Math. Phys., 53:1 (1982), 952–954  mathnet  crossref  mathscinet  zmath  isi
    3. Yu. G. Shondin, “Generalized pointlike interactions in $R_3$ and related models with rational $S$ matrix II. $l=1$”, Theoret. and Math. Phys., 65:1 (1985), 985–992  mathnet  crossref  mathscinet  isi
    4. Yu. G. Shondin, “Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space”, Theoret. and Math. Phys., 74:3 (1988), 220–230  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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