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eBook Path Integrals and Coherent States of Su ePub

eBook Path Integrals and Coherent States of Su ePub

by A Inomata,H Kuratsuji,C C Gerry

  • ISBN: 9810206569
  • Category: Science and Mathematics
  • Subcategory: Other
  • Author: A Inomata,H Kuratsuji,C C Gerry
  • Language: English
  • Publisher: World Scientific Pub Co Inc (November 1, 1992)
  • Pages: 328
  • ePub book: 1698 kb
  • Fb2 book: 1134 kb
  • Other: lit mobi doc docx
  • Rating: 4.3
  • Votes: 914

Description

states, and phase operator formalism are also included. Inomata A, Kuratsuji H, Gerry C C. Издатель. World Scientific, 1992.

Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included. This book will be useful as an introduction to the subject as well as a valuable work of reference. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented.

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Path Integrals And Coherent States Of Su(2) And Su(1, 1) – Ebook written by Inomata A, Kuratsuji H, Gerry C C. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Path Integrals And Coherent States Of Su(2) And Su(1, 1).

Akira Inomata, H Kuratsuji, C C Gerry. Published: 1 September 1992. Part II path integrals in the su (2) coherent state representation and related topics. A Inomata, Hiroshi Kuratsuji, C C Gerry

Akira Inomata, H Kuratsuji, C C Gerry. by World Scientific Pub Co Pte Lt. in Path Integrals and Coherent States of SU(2) and SU(1,1). Path Integrals and Coherent States of SU(2) and SU(1,1) pp 1-138; doi:10. The publisher has not yet granted permission to display this abstract. A Inomata, Hiroshi Kuratsuji, C C Gerry.

We construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using . nomata, . uratsuji and . Gerry, Path integrals and coherent states of. SU(2) and SU(1,1), World Scientic, Singapore, 1992.

We construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using Bargmann-Fock representations with commuting and non-commuting variables, the dierential calculi being q-deformed in both cases. For q2 −1 we obtain a new form of Grassmann-like path integral. on leave of absence from Nuclear Physics Institute, Moscow State University, 119899, Moscow, Russia. ulish and . eshetikhin, . ov.

Such ‘coherent state path integrals’(CSPI) have highly enriched the methods of path integrals with their physical . 20(9) 703-20 Inomata A, Kuratsuji H and Gerry C C 1992 Path Integrals and Coherent States of SU(2) and.

Such ‘coherent state path integrals’(CSPI) have highly enriched the methods of path integrals with their physical applications. In what follows each of the words ‘CS’ and ‘CSPI’ is used as a plural as well as a singular. In the present paper, we try to let the method of CS and CSPI take another step further; Following the recent theoretical development of CSPI using the canonical CS, we aim to liberate spin CS from the conventional choice of ducial vectors Ψ0 § and perform the path integration via the CS based on arbitrary ducial vectors.

A. Inomata, H. Kuratsuji, and . Gerry, Path Integrals and Coherent States of SU(2) and SU(1,1) (World Scientific, Singapore, 1992).

Founded in 1997, BookFinder. Coauthors & Alternates. Learn More at LibraryThing. H. Kuratsuji at LibraryThing.

Path integrals and coherent states of SU (2) and SU (1, 1). A Inomata, H Kuratsuji, CC Gerry. Generation of even and odd coherent states in a competitive two-photon process. CC Gerry, EE Hach III. Optical interferometry at the Heisenberg limit with twin Fock states and parity measurements. RA Campos, CC Gerry, A Benmoussa. Dynamics of SU (1, 1) coherent states. Physics Letters A 174 (3), 185-189, 1993.

Inomata, H. Gerry, Path Integrals and Coherent States of Su(2) and SU(1, 1) (World Scientific, Singapore, 1992). 4. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics (World Scientific, Singapore, 1995). 5. L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1996). 6. C. Grosche and F. Steiner, Handbook of Feynman Path Integrals (Springer, Berlin, 1998).

The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals. Applications of harmonic analysis, polar coordinate formulation, various techniques and path integrals on SU(2) and SU(1, 1) are discussed. Soluble examples presented include particle-flux system, a pulsed oscillator, magnetic monopole, the Coulomb problem in curved space and others.The second part deals with the SU(2) coherent states and their applications. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented. Applications are made to the study of quantum fluctuation, the nonlinear field model and phase holonomy.The final chapters present the theory of the SU(1, 1) coherent states and their applications. The radial coulomb problem, the Morse oscillator, and the large-N approximation are discussed. Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included.This book will be useful as an introduction to the subject as well as a valuable work of reference.