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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 12, Number 2, Pages 223–226 (Mi tmf2988)  

This article is cited in 17 scientific papers (total in 17 papers)

Green's function of a multidimensional isotropic harmonic oscillator

V. L. Bakhrakh, S. I. Vetchinkin, S. V. Khristenko
References:
Abstract: A closed representation is obtained for the Green's function of the Schrödinger equation for an N-dimensional isotropic harmonic oscillator.
Received: 04.11.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 12, Issue 2, Pages 776–778
DOI: https://doi.org/10.1007/BF01035799
Bibliographic databases:
Language: Russian
Citation: V. L. Bakhrakh, S. I. Vetchinkin, S. V. Khristenko, “Green's function of a multidimensional isotropic harmonic oscillator”, TMF, 12:2 (1972), 223–226; Theoret. and Math. Phys., 12:2 (1972), 776–778
Citation in format AMSBIB
\Bibitem{BakVetKhr72}
\by V.~L.~Bakhrakh, S.~I.~Vetchinkin, S.~V.~Khristenko
\paper Green's function of a multidimensional isotropic harmonic oscillator
\jour TMF
\yr 1972
\vol 12
\issue 2
\pages 223--226
\mathnet{http://mi.mathnet.ru/tmf2988}
\zmath{https://zbmath.org/?q=an:0248.35028}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 12
\issue 2
\pages 776--778
\crossref{https://doi.org/10.1007/BF01035799}
Linking options:
  • https://www.mathnet.ru/eng/tmf2988
  • https://www.mathnet.ru/eng/tmf/v12/i2/p223
  • This publication is cited in the following 17 articles:
    1. Thomas Stielow, Stefan Scheel, Markus Kurz, “A Green's function approach to giant-dipole systems”, J. Phys. B: At. Mol. Opt. Phys., 51:2 (2018), 024004  crossref
    2. Marta Sroczyńska, Tomasz Wasak, Krzysztof Jachymski, Tommaso Calarco, Zbigniew Idziaszek, “Trap-induced shape resonances in an ultracold few-body system of an atom and static impurities”, Phys. Rev. A, 98:1 (2018)  crossref
    3. Detlev Buchholz, “The Resolvent Algebra for Oscillating Lattice Systems: Dynamics, Ground and Equilibrium States”, Commun. Math. Phys., 353:2 (2017), 691  crossref
    4. K. S. Karpov, Yu. M. Pis'mak, “Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension $D$”, Theoret. and Math. Phys., 185:1 (2015), 1454–1461  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. Tapas Das, Altuğ Arda, “Exact Analytical Solution of theN-Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach”, Advances in High Energy Physics, 2015 (2015), 1  crossref
    6. S M Nagiyev, E I Jafarov, M Y Efendiyev, “A relativistic model of theN-dimensional singular oscillator”, J. Phys. A: Math. Theor., 40:2 (2007), 289  crossref
    7. J. Brüning, V. Geyler, I. Lobanov, “Spectral properties of a short-range impurity in a quantum dot”, Journal of Mathematical Physics, 45:4 (2004), 1267  crossref
    8. Grosche, C, “Handbook of Feynman path integrals - Introduction”, Handbook of Feynman Path Integrals, 145 (1998), 1  crossref  isi
    9. M. L. Tiago, T. O. de Carvalho, M. A. M. de Aguiar, “Boundary integral method for quantum billiards in a constant magnetic field”, Phys. Rev. E, 55:1 (1997), 65  crossref
    10. Christian Grosche, “Path integrals for two‐ and three‐dimensional δ‐function perturbations”, Annalen der Physik, 506:4 (1994), 283  crossref
    11. C. Grosche, “δ‐function perturbations and boundary problems by path integration”, Annalen der Physik, 505:6 (1993), 557  crossref
    12. C Grosche, “Path integrals for potential problems with δ-function perturbation”, J. Phys. A: Math. Gen., 23:22 (1990), 5205  crossref
    13. Bruce R. Johnson, “Time variables in propagators and coherent states for the Kepler-Coulomb problem”, Phys. Rev. A, 35:3 (1987), 1412  crossref
    14. V. L. Bakhrakh, S. I. Vetchinkin, I. M. Umanskii, “Quasiclassical Green's functions”, Theoret. and Math. Phys., 56:1 (1983), 701–708  mathnet  crossref  mathscinet  isi
    15. J Bellandi Fo, E S Caetano Neto, “The Mehler formula and the Green function of the multi-dimensional isotropic harmonic oscillator”, J. Phys. A: Math. Gen., 9:5 (1976), 683  crossref
    16. S. V. Khristenko, “Sturm expansions of the Green's functions for very simple systems”, Theoret. and Math. Phys., 22:1 (1975), 21–31  mathnet  crossref
    17. J. Bellandi Filho, A. H. Zimerman, “Green's function of the free electron in an uniform magnetic field”, Lett. Nuovo Cimento, 14:14 (1975), 520  crossref
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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