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- Title
Models for Quantum Measurement of Particles with Higher Spin.
- Authors
Nieuwenhuizen, Theodorus M.
- Abstract
The Curie–Weiss model for quantum measurement describes the dynamical measurement of a spin- 1 2 by an apparatus consisting of an Ising magnet of many spins 1 2 coupled to a thermal phonon bath. To measure the z-component s = − l , − l + 1 , ⋯ , l of a spin l, a class of models is designed along the same lines, which involve 2 l order parameters. As required for unbiased measurement, the Hamiltonian of the magnet, its entropy and the interaction Hamiltonian possess an invariance under the permutation s → s + 1 mod 2 l + 1 . The theory is worked out for the spin-1 case, where the thermodynamics is analyzed in detail, and, for spins 3 2 , 2 , 5 2 , the thermodynamics and the invariance are presented.
- Subjects
QUANTUM measurement; PARTICLE spin; THERMODYNAMICS; PHONONS; ENTROPY
- Publication
Entropy, 2022, Vol 24, Issue 12, p1746
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e24121746