Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 310–315 (Mi tmf2336)  
This article is cited in 5 scientific papers (total in 5 papers)

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

I. S. Tsirova, Yu. M. Shirokov
Full-text PDF (895 kB) Citations (5)
References:
PDF
HTML
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.
Received: 17.07.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 3, Pages 203–206
DOI: https://doi.org/10.1007/BF01032727
Bibliographic databases:
Language: Russian
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
\Bibitem{TsiShi81}
\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://mathscinet.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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MN84000004}
Linking options:
  • https://www.mathnet.ru/eng/tmf2336
  • https://www.mathnet.ru/eng/tmf/v46/i3/p310
    • This publication is cited in the following 5 articles:
    1. Yu. G. Shondin, “Perturbations of elliptic operators on high codimension subsets and the extension theory on an indefinite metric space”, J. Math. Sci. (New York), 87:5 (1997), 3941–3970  mathnet  mathnet  crossref
    2. 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
    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. G. K. Tolokonnikov, “Shirokov algebras. I”, Theoret. and Math. Phys., 51:3 (1982), 554–561  mathnet  crossref  mathscinet  zmath  isi  elib
    5. G. K. Tolokonnikov, “Differential rings used in Shirokov algebras”, Theoret. and Math. Phys., 53:1 (1982), 952–954  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:545
    Full-text PDF :292
    References:49
    First page:1
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025