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On the Problem of Kinematic Interaction in the Quantum Theory of Magnetism
Author(s) -
Lalović D. I.,
Tošić B. S.,
Žakula R. B.
Publication year - 1968
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.19680280221
Subject(s) - magnetism , physics , spins , representation (politics) , generalization , pauli exclusion principle , kinematics , theoretical physics , magnon , spin (aerodynamics) , quantum mechanics , quantum , order (exchange) , classical mechanics , mathematics , ferromagnetism , condensed matter physics , mathematical analysis , finance , politics , political science , law , economics , thermodynamics
The work considers the problem of the kinematic interaction of elementary excitations in the quantum theory of magnetism. In order to avoid the appearance of so‐called non‐physical states, a generalization of the Holstein‐Primakoff representation is suggested. It is shown that in calculating dynamic characteristics of magnon systems the Holstein‐Primakoff representation can be applied consistently only up to terms of the order 2 S , and not up to terms of the order 2 S +1, as it is tacitly assumed. In addition, a Pauli representation of spin operators for spins S = 1 and S = 3/2 is given.