A D Ribeiro et al 2006 J. Phys. A: Math. Gen. 39 3085 doi:10.1088/0305-4470/39/12/016
The semiclassical coherent state propagator for systems with spin
A D Ribeiro1,2, M A M de Aguiar2 and A F R de Toledo Piza1
Show affiliationsWe derive the semiclassical limit of the coherent state propagator for systems with two degrees of freedom of which one degree of freedom is canonical and the other a spin. Systems in this category include those involving spin–orbit interactions and the Jaynes–Cummings model in which a single electromagnetic mode interacts with many independent two-level atoms. We construct a path integral representation for the propagator of such systems and derive its semiclassical limit. As special cases we consider separable systems, the limit of very large spins and the case of spin-1/2.
- PACS
- MSC
-
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
-
Issue 12 (24 March 2006)
Received 3 October 2005
Published 8 March 2006
-
The semiclassical coherent state propagator for systems with spin
A D Ribeiro et al 2006 J. Phys. A: Math. Gen. 39 3085
-
Submillimeter Wave Astronomy Satellite Mapping Observations of Water Vapor around Sagittarius B2
David A. Neufeld et al. 2003 ApJ 590 882
-
The 1997 Outburst of AO 0235+164: Evidence for a Microlensing Event?
James R. Webb et al. 2000 The Astronomical Journal 120 41
-
Variational analysis of the natural decay rates and eigenmodes of cavity-enclosed diffusive fields
Adrianus T de Hoop and Michael D Prange 2007 J. Phys. A: Math. Theor. 40 12463
-
Laser spatial profile effects in measurements of impulsive molecular alignment
Arnaud Rouzée et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 2329
-
Construction of 3
3 entangled edge states with positive partial transposes
Kil-Chan Ha and Seung-Hyeok Kye 2005 J. Phys. A: Math. Gen. 38 9039
-
Deformation of the three-term recursion relation and generation of new orthogonal polynomials
A D Alhaidari 2002 J. Phys. A: Math. Gen. 35 9071
-
Electron-pair uncertainty relationships and the intracule-extracule isomorphism
Elvira Romera 2002 J. Phys. B: At. Mol. Opt. Phys. 35 L309
-
Anticorrelated electrons from weak recollisions in nonsequential double ionization
S L Haan et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 211002
-
Plastic strain and flux jumps in hard and composite superconductors
I L Maksimov and R G Mints 1981 J. Phys. D: Appl. Phys. 14 2279
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*