Statistical mechanics of impurity states I. General treatment | Zendy

Foglio M. E. | Zendy

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Statistical mechanics of impurity states I. General treatment

Author(s) -

Foglio M. E.

Publication year - 1978

Publication title -

physica status solidi (b)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.51

H-Index - 109

eISSN - 1521-3951

pISSN - 0370-1972

DOI - 10.1002/pssb.2220860203

Subject(s) - statistical mechanics , grand canonical ensemble , creation and annihilation operators , impurity , hamiltonian (control theory) , statistical ensemble , annihilation , canonical ensemble , statistical physics , physics , mathematics , quantum mechanics , statistics , mathematical optimization , quantum , monte carlo method

Creation and annihilation operators that replace one ion in a crystal by an impurity in one of a set of states are defined. To use statistical mechanics with these operators, an ensemble that is close to the grand canonical ensemble is introduced. From the model Hamiltonian (given at a fixed value of the volume per crystal site) and the empirical knowledge of the pressure, most of the thermodynamic quantities are derived. A simple example is worked out in detail.

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