Bailey C Hsu and Jean-François S Van Huele 2009 J. Phys. A: Math. Theor. 42 475304 doi:10.1088/1751-8113/42/47/475304
Analytic propagators for spin–orbit interactions
Bailey C Hsu and Jean-François S Van Huele
Show affiliationsWe derive analytic expressions for propagators in spin–orbit coupled systems. In addition to their kinetic energy, these systems exhibit a potential energy that mixes position, momentum and spin operators. We consider Hamiltonians with limited noncommutativities: the confined spin–orbit coupled Hamiltonian 
, the confined Equal–Strength–Rashba–Dresselhaus Hamiltonian 
and the confined Opposite–Strength–Rashba–Dresselhaus Hamiltonian 
. We use both a classical action method and an algebraic method in our derivations. We mention specific applications for these propagators and illustrate their significance with examples of wavepacket evolution.
- PACS
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31.15.-p Calculations and mathematical techniques in atomic and molecular physics
31.10.+z Theory of electronic structure, electronic transitions, and chemical binding
- MSC
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17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 22 June 2009, in final form 28 September 2009
Published 6 November 2009
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Analytic propagators for spin–orbit interactions
Bailey C Hsu and Jean-François S Van Huele 2009 J. Phys. A: Math. Theor. 42 475304
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