Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Fermion irreducible representations

The Pauli antisymmetry principle tells us that the wave function (including spin degrees of freedom), and thus the basis functions, for a system of identical particles must transform like the totally antisymmetric irreducible representation in the case of fermions, or spin (for odd k) particles, and like the totally symmetric irreducible representation in the case of bosons, or spin k particles (where k may take on only integer values). [Pg.389]

In sections 2 and 3, the derivation of the free equation and the implementation of the interaction in it is briefly outlined. The main point of this approach is that equation and wave function, in which the interaction has to be inserted, have only 8 components instead of 16. This means that an irreducible representation for a two-fermion system is used (2spmi 2spin2 2parity instead of 4 4). [Pg.739]

Wigner has put this statement in a more rigorous basis by saying that physically acceptable wavefunctions for microscopic systems must transform as irreducible representations (IR) of the symmetric (or permutation) group. As a consequence, the wavefunctions for quantum systems must be symmetric or antisymmetric under the permutation of any two identical particles of the system. For the case of many-fermion systems (particles with half-integer spin) the Pauh principle states that the wavefunctions must be antisymmetric. [Pg.255]


See other pages where Fermion irreducible representations is mentioned: [Pg.172]    [Pg.219]    [Pg.452]    [Pg.140]    [Pg.209]    [Pg.172]    [Pg.182]    [Pg.183]    [Pg.543]    [Pg.226]   
See also in sourсe #XX -- [ Pg.140 , Pg.158 ]




SEARCH



Fermions

Irreducible

Irreducible representations

© 2024 chempedia.info