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- Q1625120 subject Q5724991.
- Q1625120 abstract "The Holstein-Primakoff transformation in quantum mechanics is a mapping to the spin operators from boson creation and annihilation operators, effectively truncating their infinite-dimensional Fock space to finite-dimensional subspaces.One important aspect of quantum mechanics is the occurrence of—in general—non-commuting operators which represent observables, quantities that can be measured.A standard example of a set of such operators are the three components of the angular momentum operators, which are crucial in many quantum systems.These operators are complicated, and one would like to find a simpler representation, which can be used to generate approximate calculational schemes.The transformation was developed in 1940 by Theodore Holstein, a graduate student at the time, and Henry Primakoff. This method has found widespread applicability and has been extended in many different directions. There is a close link to other methods of boson mapping of operator algebras: in particular, the (non-hermitean) Dyson-Maleev technique, and to a lesser extent the Jordan–Schwinger map. There is, furthermore, a close link to the theory of (generalized) coherent states in Lie algebras.".
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- Q1625120 wikiPageWikiLink Q5724991.
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- Q1625120 wikiPageWikiLink Q899044.
- Q1625120 wikiPageWikiLink Q902336.
- Q1625120 wikiPageWikiLink Q944.
- Q1625120 comment "The Holstein-Primakoff transformation in quantum mechanics is a mapping to the spin operators from boson creation and annihilation operators, effectively truncating their infinite-dimensional Fock space to finite-dimensional subspaces.One important aspect of quantum mechanics is the occurrence of—in general—non-commuting operators which represent observables, quantities that can be measured.A standard example of a set of such operators are the three components of the angular momentum operators, which are crucial in many quantum systems.These operators are complicated, and one would like to find a simpler representation, which can be used to generate approximate calculational schemes.The transformation was developed in 1940 by Theodore Holstein, a graduate student at the time, and Henry Primakoff. ".
- Q1625120 label "Holstein–Primakoff transformation".