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Definition and Use of Ferromagnon Annihilation Operators in the Bloch‐Dyson Theory of Ferromagnons
Author(s) -
Praveczki E.
Publication year - 1964
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.19640050305
Subject(s) - annihilation , creation and annihilation operators , pauli exclusion principle , kinematics , term (time) , order (exchange) , operator theory , mathematics , physics , mathematical physics , theoretical physics , pure mathematics , quantum mechanics , finance , economics , quantum
By generalizing the Pauli‐operators, within the framework of Dyson's theory, ferromagnon annihilation operators are introduced. Using these operators the magnetization is determined for general S . The theory includes the kinematic interactions exactly, and the dynamic interactions are treated to various degrees of approximation. It is established that at low temperatures the dynamic interactions appear in the form of a term of order 4 , while the kinematic interactions contribute a term of order 3 for S = 1/2, and of higher order than 4 for S > 1/2.