Standard

Classification of cyclic initial states and geometric phase for the spin-j system. / Skrynnikov, N. R.; Zhou, J.; Sanctuary, B. C.

в: Journal of Physics A: General Physics, Том 27, № 18, 033, 1994, стр. 6253-6265.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Skrynnikov, NR, Zhou, J & Sanctuary, BC 1994, 'Classification of cyclic initial states and geometric phase for the spin-j system', Journal of Physics A: General Physics, Том. 27, № 18, 033, стр. 6253-6265. https://doi.org/10.1088/0305-4470/27/18/033

APA

Skrynnikov, N. R., Zhou, J., & Sanctuary, B. C. (1994). Classification of cyclic initial states and geometric phase for the spin-j system. Journal of Physics A: General Physics, 27(18), 6253-6265. [033]. https://doi.org/10.1088/0305-4470/27/18/033

Vancouver

Skrynnikov NR, Zhou J, Sanctuary BC. Classification of cyclic initial states and geometric phase for the spin-j system. Journal of Physics A: General Physics. 1994;27(18):6253-6265. 033. https://doi.org/10.1088/0305-4470/27/18/033

Author

Skrynnikov, N. R. ; Zhou, J. ; Sanctuary, B. C. / Classification of cyclic initial states and geometric phase for the spin-j system. в: Journal of Physics A: General Physics. 1994 ; Том 27, № 18. стр. 6253-6265.

BibTeX

@article{b26ac864a5b448cab3d25a1b01191ef1,
title = "Classification of cyclic initial states and geometric phase for the spin-j system",
abstract = "Quantum states which evolve cyclically in their projective Hilbert space give rise to a geometric (or Aharonov-Anandan) phase. An aspect of primary interest is stable cyclic behaviour as realized under a periodic Hamiltonian. The problem has been handled by use of time-dependent transformations treated along the lines of Floquet's theory as well as in terms of exponential operators with a goal to examine the variety of initial states exhibiting cyclic behaviour. A particular case of special cyclic initial states is described which is shown to be important for nuclear magnetic resonance experiments aimed at the study of the effects of the geometric phase. An example of arbitrary spin j in a precessing magnetic field and spin j=1 subject to both axially symmetric quadrupolar interaction and a precessing magnetic field are presented. The invariant (Kobe's) geometric phase is calculated for special cyclic states.",
author = "Skrynnikov, {N. R.} and J. Zhou and Sanctuary, {B. C.}",
year = "1994",
doi = "10.1088/0305-4470/27/18/033",
language = "English",
volume = "27",
pages = "6253--6265",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "18",

}

RIS

TY - JOUR

T1 - Classification of cyclic initial states and geometric phase for the spin-j system

AU - Skrynnikov, N. R.

AU - Zhou, J.

AU - Sanctuary, B. C.

PY - 1994

Y1 - 1994

N2 - Quantum states which evolve cyclically in their projective Hilbert space give rise to a geometric (or Aharonov-Anandan) phase. An aspect of primary interest is stable cyclic behaviour as realized under a periodic Hamiltonian. The problem has been handled by use of time-dependent transformations treated along the lines of Floquet's theory as well as in terms of exponential operators with a goal to examine the variety of initial states exhibiting cyclic behaviour. A particular case of special cyclic initial states is described which is shown to be important for nuclear magnetic resonance experiments aimed at the study of the effects of the geometric phase. An example of arbitrary spin j in a precessing magnetic field and spin j=1 subject to both axially symmetric quadrupolar interaction and a precessing magnetic field are presented. The invariant (Kobe's) geometric phase is calculated for special cyclic states.

AB - Quantum states which evolve cyclically in their projective Hilbert space give rise to a geometric (or Aharonov-Anandan) phase. An aspect of primary interest is stable cyclic behaviour as realized under a periodic Hamiltonian. The problem has been handled by use of time-dependent transformations treated along the lines of Floquet's theory as well as in terms of exponential operators with a goal to examine the variety of initial states exhibiting cyclic behaviour. A particular case of special cyclic initial states is described which is shown to be important for nuclear magnetic resonance experiments aimed at the study of the effects of the geometric phase. An example of arbitrary spin j in a precessing magnetic field and spin j=1 subject to both axially symmetric quadrupolar interaction and a precessing magnetic field are presented. The invariant (Kobe's) geometric phase is calculated for special cyclic states.

UR - http://www.scopus.com/inward/record.url?scp=21844495329&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/18/033

DO - 10.1088/0305-4470/27/18/033

M3 - Article

AN - SCOPUS:21844495329

VL - 27

SP - 6253

EP - 6265

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 18

M1 - 033

ER -

ID: 87884169