On intelligent spin states
- 1 November 1976
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (11) , 1963-1971
- https://doi.org/10.1063/1.522835
Abstract
In this paper we give a more compact representation of the intelligent spin states defined by Aragone, Guerri, Salamó, and Tani. Using this new representation, we discuss the differences between minimum uncertainty states, coherent Bloch spin states and intelligent states. The evolution of these states under a particular time dependent Hamiltonian is studied, showing the relevance of the noncompact subgroup K of the Lorentz group. Finally we analyze the radiative properties connected with the intelligent states for a pointlike medium. The main results are: (I) they have a nonvanishing dipole moment (as the Bloch states) and (II) the proper intelligent states give a spontaneous emission intensity which is different from the one provided by the Bloch states.Keywords
This publication has 10 references indexed in Scilit:
- Relationship between coherent states and intelligent states as applied to spinsJournal of Physics A: General Physics, 1975
- Rotations and intelligence of coherent spin statesJournal of Physics A: General Physics, 1975
- Intelligent spin statesJournal of Physics A: Mathematical, Nuclear and General, 1974
- Quantum theory of coherent spontaneous and stimulated emissionsPhysical Review A, 1974
- The classical limit of quantum spin systemsCommunications in Mathematical Physics, 1973
- Atomic Coherent States in Quantum OpticsPhysical Review A, 1972
- Some properties of coherent spin statesJournal of Physics A: General Physics, 1971
- Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)Journal of Mathematical Physics, 1967
- Induced and Spontaneous Emission in a Coherent FieldPhysical Review B, 1958
- Nuclear InductionPhysical Review B, 1946