caa a22 4500 463196376 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10773-006-9117-0 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9117-0 Inequivalent Representations of Commutator or Anticommutator Rings of Field Operators and Their Applications [Elektronische Daten] [M. Matejka, M. Noga] Hamiltonian of a system in quantum field theory can give rise to infinitely many partition functions which correspond to infinitely many inequivalent representations of the canonical commutator or anticommutator rings of field operators. This implies that the system can theoretically exist in infinitely many Gibbs states. The system resides in the Gibbs state which corresponds to its minimal Helmholtz free energy at a given range of the thermodynamic variables. Individual inequivalent representations are associated with different thermodynamic phases of the system. The BCS Hamiltonian of superconductivity is chosen to be an explicit example for the demonstration of the important role of inequivalent representations in practical applications. Its analysis from the inequivalent representations' point of view has led to a recognition of a novel type of the superconducting phase transition. Springer Science + Business Media, Inc., 2007 inequivalent representations nationallicence BCS model nationallicence superconductivity nationallicence thermodynamic properties nationallicence layered structures nationallicence Uemura plot nationallicence Matejka M. Department of Chemical Physics, Faculty of Mathematics, Physics and Computer Sciences, Comenius University, Mlynská Dolina, 842 48, Bratislava, Slovakia aut Noga M. Department of Theoretical Physics, Faculty of Mathematics, Physics and Computer Sciences, Comenius University, Mlynská Dolina, 842 48, Bratislava, Slovakia aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 518-547 0020-7748 46:3<518 2007 46 10773 https://doi.org/10.1007/s10773-006-9117-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9117-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Matejka M. Department of Chemical Physics, Faculty of Mathematics, Physics and Computer Sciences, Comenius University, Mlynská Dolina, 842 48, Bratislava, Slovakia aut NATIONALLICENCE 700 1- Noga M. Department of Theoretical Physics, Faculty of Mathematics, Physics and Computer Sciences, Comenius University, Mlynská Dolina, 842 48, Bratislava, Slovakia aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 518-547 0020-7748 46:3<518 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer