Advertisement

Quantum Mechanism of Condensates and High Tc Superconductivity

  • Tian Ma
  • Shouhong Wang
Chapter

Abstract

The main objective of this chapter is to introduce a new quantum mechanism of condensates and superconductivity based on the field theoretical interpretation of quantum mechanical wave functions presented in Sect.  7.3.2, and on recent developments in quantum physics and statistical physics.

References

  1. Anderson, M. H., J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell (1995, July). Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor. Science 269, 198–201.CrossRefGoogle Scholar
  2. Bardeen, J., L. N. Cooper, and J. R. Schrieffer (1957). Theory of superconductivity. Phys. Rev. 108, 1175–1204.MathSciNetCrossRefGoogle Scholar
  3. Bednorz, J. G. and K. A. Muller (1986). Possible high Tc superconductivity in the Ba-La-Cu-O system. Z. Phys. B 64, 189–193.CrossRefGoogle Scholar
  4. Bose, S. N. (1924). Plancks Gesetz und Lichtquantenhypothese. Zeitschrift für Physik 26, 178–181.CrossRefGoogle Scholar
  5. Davis, K. B., M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle (1995, Nov). Bose-Einstein condensation in a gas of sodium atoms. Phys. Rev. Lett. 75, 3969–3973.CrossRefGoogle Scholar
  6. Einstein, A. (1924). Quantentheorie des einatomigen idealen gases. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physik- Mathematik, 261–267.Google Scholar
  7. Einstein, A. (1925). Quantentheorie des einatomigen idealen gases. zweite abhandlung. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physik- Mathematik, 3–14.Google Scholar
  8. Gross, E. P. (1961). Structure of a quantized vortex in boson systems. Il Nuovo Cimento (1955–1965) 20(3), 454–477.MathSciNetCrossRefGoogle Scholar
  9. Ho, T.-L. (1998). Spinor bose condensates in optical traps. Physical review letters 81(4), 742.MathSciNetCrossRefGoogle Scholar
  10. Kapitza, P. (1938, 01). Viscosity of liquid helium below the λ-point. Nature 141, 74 EP –.CrossRefGoogle Scholar
  11. Ma, T. and S. Wang (2015a). Mathematical Principles of Theoretical Physics. Science Press, 524 pages.Google Scholar
  12. Ma, T. and S. Wang (2017d). Statistical theory of heat. Hal preprint: hal-01578634.Google Scholar
  13. Ma, T. and S. Wang (2019). Quantum Mechanism of Condensation and High Tc Superconductivity. International Journal of Theoretical Physics B 33, 1950139 (34 pages); see also hal--01613117 (2017).Google Scholar
  14. Ohmi, T. and K. Machida (1998). Bose-Einstein condensation with internal degrees of freedom in alkali atom gases. Journal of the Physical Society of Japan 67(6), 1822–1825.CrossRefGoogle Scholar
  15. Pitaevskii, L. (1961). Vortex lines in an imperfect bose gas. Sov. Phys. JETP 13(2), 451–454.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tian Ma
    • 1
  • Shouhong Wang
    • 2
  1. 1.Department of MathematicsSichuan UniversitySichuanChina
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

Personalised recommendations