Abstract
We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 486-494 |
| Number of pages | 9 |
| Journal | Journal of Russian Laser Research |
| Volume | 32 |
| Issue number | 5 |
| DOIs | |
| State | Published - Aug 2011 |
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Keywords
- Berry phase
- dynamic invariants
- Ermakov-type system
- generalized harmonic oscillators
- Green function
- time-dependent Schrödinger equation
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Engineering (miscellaneous)
Cite this
Dynamic invariants and the berry phase for generalized driven harmonic oscillators. / Sanborn, Barbara; Suslov, Sergei; Vinet, Luc.
In: Journal of Russian Laser Research, Vol. 32, No. 5, 08.2011, p. 486-494.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dynamic invariants and the berry phase for generalized driven harmonic oscillators
AU - Sanborn, Barbara
AU - Suslov, Sergei
AU - Vinet, Luc
PY - 2011/8
Y1 - 2011/8
N2 - We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.
AB - We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.
KW - Berry phase
KW - dynamic invariants
KW - Ermakov-type system
KW - generalized harmonic oscillators
KW - Green function
KW - time-dependent Schrödinger equation
UR - http://www.scopus.com/inward/record.url?scp=82555186919&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=82555186919&partnerID=8YFLogxK
U2 - 10.1007/s10946-011-9238-7
DO - 10.1007/s10946-011-9238-7
M3 - Article
AN - SCOPUS:82555186919
VL - 32
SP - 486
EP - 494
JO - Journal of Russian Laser Research
JF - Journal of Russian Laser Research
SN - 1071-2836
IS - 5
ER -