Summary
In the present note we define the Landau operators and their corresponding Schrauben eigenfunctions. The new Landau operators are particular cases oft he corresponding operators of the harmonic oscillator in phase space.
Similar content being viewed by others
References
L. Landau:Z. Phys.,64, 629 (1930);E. Peierls:Z. Phys.,80, 763 (1933);J. Luttinger:Phys. Rev.,84, 814 (1951);E. Adams:Phys. Rev.,85, 41 (1952);P. Harper:Proc. Phys. Soc. London,Sect. A,68, 879 (1955);L. Roth:J. Phys. Chem. Solids.,23, 433 (1962);E. Brown:Phys. Rev. A,133, 1048 (1964);P. Tsilimigras: Thesis, University of Athens (9169).
R. Dingle:Proc. R. Soc. London, Ser. A,211, 500 (1953).
I. Malkin, Y. Man’ko andD. Trifonov:Phys. Rev. D,2, 1371 (1970).
I. Zak:Phys. Rev. A,134, 1607 (1964);136, 776 (1974);H. Fischbeck:Phys. Status Solidi,38, 11 (1970).
A. Jannussis:Phys. Status Solidi,6, 217 (1964);A. Jannussis andP. Tsilimigras:Z. Naturforsch., 24a, 340 (1969);A. Jannussis andP. Papaloucas:Z. Naturforsch., 28a, 701 (1973);A. Feldmann andA. Kahn:Phys. Rev. B,1, 4584 (1969);K. Chung andB. Mrowka:Z. Phys.,259, 157 (1973);A. Jannussis, V. Papatheou andP. Tsilimigras:Phys. Status Solidi B,88, 341 (1978);A. Jannussis, P. Ktenas andH. Ioannïdou:J. Phys. Soc. Jpn.,33, 1248 (1972);A. Jannussis andP. Ktenas:Academic Bulgarie des Sciences,15, 161 (1973).
A. Jannussis:Z. Phys.,190, 129 (1966), and references therein.
P. Hatjikostantinou andA. Jannussis:Fizika (Alma-Ata),7, 177 (1975).
N. Salingaros:Phys. Rev. D,28, 706 (1984); I:Phys. Rev. D; II in press.
A. Barut andA. Bracken:Aust. J. Phys.,35, 353 (1982);Phys. Rev. D,24, 3333 (1981);A. Barut, O. Özaltin andN. Ünal:Acta Phys. Austriaca,56, 179 (1985).
H. Aoki:J. Phys. C,15, L1227 (1982);16, L1983 (1983);17, L1875 (1984);18, L1885 (1985).
H. Yuen:Phys. Rev. A,13, 2226 (1976).
R. Glauber:Phys. Rev.,131, 2766 (1963);A. Jannussis, N. Patabgias andL. Papaloucas:Lett. Nuovo Cimento,29, 87 (1979).
A. Jannussis, N. Patargias andL. Papaloucas:J. Phys. Soc. Jpn.,47, 10003 (1979).
A. Jannussis, G. Brodimas andL. Papaloucas:Phys. Lett. A,71, 301 (1979).
A. Jannussis, N. Patargias andG. Brodimas:J. Phys. Soc. Jpn.,45, 336 (1978).
B. Schuh:J. Phys. A: Math. Nucl. Gen.,18, 803 (1985).
A. Jannussis, P. Filippakis andT. Filippakis:Hadronic J.,7, 677 (1984).
F. Bopp:Werner Heisenberg und die Physik unserer Zeit (Verlag Vieweg und Sohn, Braunschweig, 128, (1961)).
P. Carrüthers andF. Zachariasen:Rev. Mod. Phys.,55, 245 (1983).
Y. Srivastava, M. Friedman andA. Widom:Lett. Nuovo Cimento,42, 232 (1985);M. Friedman, J. Sokoloff, A. Widom andY. Srivastava:Phys. Rev. Lett.,52, 1587 (1984);A. Abouelsgood:Phys. Rev, Lett.,54, 1973 (1985);M. Kohmoto:Ann. Phys. (N. Y.),160, 343 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jannussis, A., Skuras, E. Landau creation and annihilation operators and the Schrauben eigenfunctions. Lett. Nuovo Cimento 44, 91–98 (1985). https://doi.org/10.1007/BF02746995
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02746995