Skip to main content
SpringerLink
Log in

Dynamics of localized states in N = 4 SUSY QM

  • Published:
Physics of Particles and Nuclei Aims and scope Submit manuscript

Abstract

A consistent approach is offered for investigating the temporal dynamics of localized states. It is based on exactly solvable quantum mechanical models with multi-well potentials and the associate propagators. The Hamiltonian states with multi-well potentials form an adequate basis for expanding wave packets (WP) of various types and degrees of localization. Special features of WP tunneling have been studied with due regard for all Hamiltonian states with symmetric and asymmetric potentials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Gos. Izd. RSFSR, Leningrad, 1948; Pergamon, London, 1958).

    Google Scholar 

  2. M. M. Nieto, V. P. Gutschick, C. M. Bender, F. Cooper, and D. Strottman, “Resonances in Quantum Mechanical Tunneling,” Phys. Lett. B 163, 336–342 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  3. H. Dekker, “Fractal Analysis of Chaotic Tunneling of Squeezed States in a Double-Well Potential,” Phys. Rev. A: At., Mol., Opt. Phys. 35, 1825–1837 (1987).

    Article  ADS  Google Scholar 

  4. D. Mugnai, A. Ranfagni, M. Montagna, O. Pilla, G. Viliani, and M. Cetica, “Tunneling of Squeezed States in Asymmetrical Double-Well Potentials,” Phys. Rev. A: At., Mol., Opt. Phys. 38, 2182–2184 (1988).

    Article  ADS  Google Scholar 

  5. M. Razavy and A. Pimpale, “Quantum Tunneling: AGeneral Study in Multi-Dimensional Potential Barriers with and without Dissipative Coupling,” Phys. Rep. 168, 306–370 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  6. W. M. Zheng, “The Darboux Transformation and Solvable Double-Well Potential Models for Schrodinger Equation,” J. Math. Phys. 25, 88–90 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. V. P. Berezovoj, G. I. Ivashkevych, and M. I. Konchatnij, “Multi-Well Potentials in Quantum Mechanics and Stochastic Processes,” SIGMA 6, 098 (2010).

    MathSciNet  Google Scholar 

  8. H. R. Jauslin, “Exact Propagator and Eigenfunctions for Multistable Models with Arbitrarily Prescribed N Lowest Eigenvalues,” J. Phys. A: Math. Gen. 21, 2337–2350 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. B. F. Samsonov and A. M. Pupasov, “Exact Propagators for Complex SUSY Partners of Real Potentials,” Phys. Lett. A 356, 210–214 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  10. B. F. Samsonov, A. M. Pupasov, and U. Gunther, “Exact Propagators for SUSY Partners,” J. Phys. A: Math. Theor. 40, 10557–10587 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  11. C. Grosche and F. Steiner, Handbook of Feynman Path Integrals, in Springer Tracts in Modern Physics, (Springer, Berlin, 1998), Vol. 145.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I. Akhiezer Institute of Theoretical Physics, National Science Center “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya St., Kharkov, 61108, Ukraine

    V. P. Berezovoj & M. I. Konchatnij

Authors
  1. V. P. Berezovoj
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. I. Konchatnij
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Berezovoj.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berezovoj, V.P., Konchatnij, M.I. Dynamics of localized states in N = 4 SUSY QM. Phys. Part. Nuclei 43, 654–658 (2012). https://doi.org/10.1134/S1063779612050048

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063779612050048

Keywords

Search

Navigation