Skip to main content
Log in

The self-consistent condition for the cranked Harmonic Oscillator Potential

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

When the nuclear field is approximated by an Harmonic Oscillator Potential it is possible to obtain an exact solution when the field is cranked with frequency ω. We have shown that when the energy is minimized, subject to the condition of constant volume, the square of the velocity distribution is not isotropic as previously assumed. The system shows greater stability resulting in a higher cut-off frequency and an expanded energy spectrum.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Valatin, J.G.: Proc. Roy. Soc. London A238, 132 (1956)

    Google Scholar 

  2. Bohr, A., Mottelson, B.R.: Nuclear Structure, p. 283, New York and Amsterdam: W.A. Benjamin 1969

    Google Scholar 

  3. Ripka, G., Blaizot, J.P., Kassis, N.: Extended Seminar on Nuclear Physics 1973, Int. Cent. for Theor. Phys., Trieste, paper SMR 14/19

  4. Mottelson, B.R.: The Many Body Problem, Université de Grenoble, Les Houches 1958, Methuen, London

    Google Scholar 

  5. DeShalit, A., Feshbach, H.: Theoretical Nuclear Physics, Vol. 1, New York: John Wiley and Sons 1974

    Google Scholar 

  6. Bohr, N.: Studier over Metallernes Elektrontheori, dissertation, Thaning og Appel, Copenhagen; transl. Niels Bohr, Collected Works, vol. 1, p. 291, ed. J. Rud Nielsen, Amsterdam: North Holland 1972

    Google Scholar 

  7. Van Leeuwen, H.J.: J. phys. radium2, 361 (1921)

    Google Scholar 

  8. Van Vleck, J.H.: The Theory of Electric and Magnetic Susceptibilities, Oxford: Oxford University Press 1932

    Google Scholar 

  9. Kittel, C.: Introduction to Solid State Physics, Ch. 15, London: J. Wiley & Sons 1971

    Google Scholar 

  10. Feynman, R.P.: Phys. Rev.56, 340 (1939)

    Google Scholar 

  11. Stamp, A.P.: Nucl. Phys. A266, 119 (1976)

    Google Scholar 

  12. Passler, K.H., Mosel, U.: Nucl. Phys. A257, 242 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I would like to express my appreciation to Prof. H.J. Mang for the invitation to visit the Technische Universität München.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stamp, A.P. The self-consistent condition for the cranked Harmonic Oscillator Potential. Z Physik A 284, 305–312 (1978). https://doi.org/10.1007/BF01406803

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01406803

Keywords

Navigation