Advertisement

Phase transition between condensed homogeneous and periodic systems

  • A. Coniglio
  • M. Marinaro
  • B. Preziosi
Article

Summary

The properties of a many-body system exhibiting condensation both in a periodic state and in an homogeneous state are compared. The possibility of a transition between these two phases is discussed and explicitly shown to exist in a model.

Keywords

Transition Point Periodic System Canonical Transformation Homogeneous Phase Commutation Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Фаэовый переход между конденсированной однородной и периодической системами

Реэюме

Сравниваются свойства многочастичной системы, обнаруживаюшей конденсацию как в периодическое состояние, так и в однородное состояние. Обсуждается воэможность перехода между двумя зтими фаэами, и аккуратно покаэывается сушествование зтой воэможности на модели.

Riassunto

Sono state confrontate le proprietà di un sistema di molti bosoni presentante condensazioni sia in uno stato periodico che in uno stato omogeneo. La possibilità di avere transizioni da una fase all’altra è discussa ed esplicitamente mostrata in un modello.

References

  1. (1).
    N. N. Bogoliubov:Journ. Phys. Mosocw,11, 23 (1947) reprint inD. Pines, Ed.,The Many-Body Problem (New York);S. T. Beliaev:Sov. Phys. JETP,7, 289, 299 (1958).Google Scholar
  2. (2).
    A. Coniglio andM. Marinaro:Nuovo Cimento,48 B, 249 (1967).ADSCrossRefGoogle Scholar
  3. (3).
    E. P. Gross:Nuovo Cimento,20, 454 (1961).CrossRefGoogle Scholar
  4. (4).
    E. P. Gross:Phys. Rev. Lett.,106, 161 (1962);Ann. of Phys.,4, 57 (1958);9, 292 (1960).Google Scholar
  5. (5).
    H. Umezawa:Suppl. Progr. Theor. Phys.,37–38, 585 (1966).CrossRefGoogle Scholar
  6. (6).
    H. Araki andE. J. Woods:Journ. Math. Phys.,4, 637 (1963).ADSMathSciNetCrossRefGoogle Scholar
  7. (7).
    H. Umezawa:Acta Phys. Hung.,19, 9 (1965).CrossRefGoogle Scholar
  8. (8).
    L. D. Landau andE M. Lifshitz:Statistical Physics (London, 1959).Google Scholar
  9. (9).
    H. Ezawa:Journ. Math. Phys.,6, 380 (1965).ADSMathSciNetCrossRefGoogle Scholar
  10. (10).
    L. Leplae andH. Umezawa:Nuovo Cimento,44 B, 410 (1966).ADSCrossRefGoogle Scholar
  11. (11).
    J. Goldstone, A. Salam andS. Weinberg:Phys. Rev.,127, 965 (1962).ADSMathSciNetCrossRefGoogle Scholar
  12. (12).
    A. Katz andY. Freshman:Suppl. Nuovo Cimento,5, 749 (1967).Google Scholar
  13. (13).
    L. Leplae, R. N. Sen andH. Umezawa:Suppl. Progr. Theor. Phys., extra Number (1965).Google Scholar
  14. (14).
    A. Conglio andA. Marinaro:Nuovo Cimento,48 B, 262 (1967).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1969

Authors and Affiliations

  • A. Coniglio
    • 1
    • 2
    • 3
  • M. Marinaro
    • 1
    • 2
    • 3
  • B. Preziosi
    • 1
    • 2
    • 3
  1. 1.Gruppo Nazionale di Struttura della Materia del CNRNapoli
  2. 2.Istituto di Fisica Teorica dell’UniversitàNapoli
  3. 3.Istituto Nazionale di Fisica NucleareSezione di Napoli

Personalised recommendations