Coherent States

Klauder, John R.; Skagerstam, Bo-Sture

doi:10.1142/0096

Cited by 1,425 publications

(1,216 citation statements)

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“…F First we remark that an operator (under suitable conditions) is completely determined by its diagonal matrix elements between standard coherent states [23]. This is also true for diagonal matrix elements between the supercoherent states (37).…”

Section: ⋆-Product On S (22)mentioning

confidence: 87%

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The Star Product on the Fuzzy Supersphere

Balachandran

Kürkçüoğlu

Rojas

2002

J. High Energy Phys.

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The fuzzy supersphere S (2,2) F is a finite-dimensional matrix approximation to the supersphere S (2,2) incorporating supersymmetry exactly. Here the ⋆-product of functions on S (2,2) F is obtained by utilizing the OSp(2, 1) coherent states. We check its graded commutative limit to S (2,2) and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our ⋆-product completes our work.

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Section: ⋆-Product On S (22)mentioning

confidence: 87%

“…The SCS constructed here will be used heavily in the following sections. We start our discussion by introducing the coherent state including the bosonic and fermionic degrees of freedom [11,23]:…”

Section: Coherent Statesmentioning

confidence: 99%

The Star Product on the Fuzzy Supersphere

Balachandran

Kürkçüoğlu

Rojas

2002

J. High Energy Phys.

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“…A main tool is that called the semi-classical Wehrl entropy W , a measure of phasespace localization [1,22] expressed via coherent states |z [2,23]. Coherent states are eigenstates of a general annihilation operatorâ, appropriate for the problem at hand [23][24][25], i.e.,â…”

Section: Husimi Distributions and Their Wehrl Entropiesmentioning

confidence: 99%

Note on semiclassical uncertainty relations

Olivares¹,

Pennini²,

Ferri³

et al. 2009

Braz. J. Phys.

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An important manifestation of the Uncertainty Principle, one of the cornerstones of our present understanding of Nature, is that related to semiclassical localization in phase-space. We wish here to add some notes on the subject with reference to the canonical harmonic oscillator problem, with emphasis in the concepts of semiclassical Husimi distributions, the associated Wehrl entropy, escort distributions, and Fisher's information measure.

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“…A number of operators have been thus transported and have been reported in the literature, see Folland [12] I. Daubechies [8,19], J. Ramanathan and P Topiwala [13], J. R. Klauder and B. S. Skagerstam [3], C. Heil and D. Walnut [10]. It can easily be shown by integration by parts (see Appendix I) that the following relations hold…”

Section: The Bargman Transformmentioning

confidence: 99%

“…The formulation has been derived for the representation of fields in terms of Coherent States which have the form g (p,q) (x) = 1 π 1/4 e ipx e −(x−q) 2 /2 . Extensive discussion of application of Coherent States in Quantum Optics have been given by J. R. Klauder and E. C. G. Sudarshan [2] and later J. R. Klauder and B. S. Skagerstam [3], B. Wells [4], R. Cloude [5], A. Perelomov [6], and J. Elliot and P. Dawber [7].…”

Section: Introductionmentioning

confidence: 99%