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Abstract:

Some physical phenomena such as superconductivity, superfluidity or magnetic ordering are supported by condensed phases of pairs of fermions. In addition, another concept, off-diagonal long-range-order correlations (ODLRO), is closely related to this phenomenon to such an extent that one phenomenon implies the other for boson systems. The concept of the generalized Bose condensation is extended to fermion pairs (or pairons) because they are neither fermions nor bosons. The definition of the correlation density matrix allows the generalized condensation of the Girardeau type and even Coleman's definition as corollaries. In addition, the definition allows an interpretation of why fermionic systems never exhibit ODLRO; early results are confirmed from this different perspective. Population analysis was used in order to quantify the condensation of pairs in systems with intrinsic physico-chemical interest such as molecules and crystals. Fermionic-like particles (q-ons) which may exhibit this particular behaviour are also considered. © 1990.

Registro:

Documento: Artículo
Título:On the electronic distribution for extended systems. Part II. Condensation and long-range-order correlations for fermion pairs
Autor:Bochicchio, R.C.
Filiación:Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. 1, 1428, Buenos AiresArgentina
Año:1990
Volumen:210
Número:C
Página de inicio:99
Página de fin:105
DOI: http://dx.doi.org/10.1016/0166-1280(90)80030-R
Título revista:Journal of Molecular Structure: THEOCHEM
Título revista abreviado:J. Mol. Struct. THEOCHEM
ISSN:01661280
CODEN:THEOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v210_nC_p99_Bochicchio

Referencias:

  • Penrose, CXXXVI. On the quantum mechanics of helium II (1951) The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 42, p. 1373
  • Penrose, Onsager, (1956) Phys. Rev., 104, p. 576
  • Yang, (1962) Rev. Mod. Phys., 34, p. 694
  • Girardeau, (1968) Queen's Papers in Pure and Applied Mathematics, (11), p. 111. , and references therein. Kingston, Ontario, Canada
  • Coleman, Density Matrices and Density Functionals (1985) Proceedings of the A. John Coleman Symposium, , R. Erdahl, V.H. Smith Jr., Reidel, Dordrecht, and references therein
  • Bochicchio, Medrano, (1989) J. Mol. Struct. (Theochem), 201, p. 177
  • (b) R.C. Bochicchio, J. Mol. Struct. (Theochem), accepted; Bochicchio, Reale, Medrano, (1989) Phys. Rev. B, 40, p. 7186
  • Coleman, (1975) Quantum Statistics and the Many Body Problem, , S.B. Trickey, W.P. Kirk, J.W. Dufty, Plenum, New York
  • Coleman, Structure of Fermion Density Matrices (1963) Reviews of Modern Physics, 23, p. 668
  • Löwdin, Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction (1955) Physical Review, 97, p. 1474
  • Davidson, (1976) Reduced Density Matrices in Quantum Chemistry, , Academic Press, London
  • (b) R.C. Bochicchio, J. Mol. Struct. (Theochem), accepted; R.C. Bochicchio and H.F. Reale, to be published; von Neumann, (1955) Mathematical Foundations of Quantum Mechanics, , Springer, Berlin
  • Cohen-Tannoudji, Diu, Lalöe, (1977) Quantum Mechanics, , Wiley, New York
  • Gentile, itOsservazioni sopra le statistiche intermedie (1940) Il Nuovo Cimento, 17, p. 493
  • March, Young, Sampanthar, (1967) The Many Body Problem in Quantum Mechanics, , Cambridge University Press, Cambridge
  • Girardeau, (1983) Phys. Rev., Ser. A, 28, p. 1056

Citas:

---------- APA ----------
(1990) . On the electronic distribution for extended systems. Part II. Condensation and long-range-order correlations for fermion pairs. Journal of Molecular Structure: THEOCHEM, 210(C), 99-105.
http://dx.doi.org/10.1016/0166-1280(90)80030-R
---------- CHICAGO ----------
Bochicchio, R.C. "On the electronic distribution for extended systems. Part II. Condensation and long-range-order correlations for fermion pairs" . Journal of Molecular Structure: THEOCHEM 210, no. C (1990) : 99-105.
http://dx.doi.org/10.1016/0166-1280(90)80030-R
---------- MLA ----------
Bochicchio, R.C. "On the electronic distribution for extended systems. Part II. Condensation and long-range-order correlations for fermion pairs" . Journal of Molecular Structure: THEOCHEM, vol. 210, no. C, 1990, pp. 99-105.
http://dx.doi.org/10.1016/0166-1280(90)80030-R
---------- VANCOUVER ----------
Bochicchio, R.C. On the electronic distribution for extended systems. Part II. Condensation and long-range-order correlations for fermion pairs. J. Mol. Struct. THEOCHEM. 1990;210(C):99-105.
http://dx.doi.org/10.1016/0166-1280(90)80030-R