Coherent state path integral for linear systems
نویسندگان
چکیده
منابع مشابه
On the Coherent State Path Integral for Linear Systems
We present a computation of the coherent state path integral for a generic linear system using “functional methods” (as opposed to discrete time approaches). The Gaussian phase space path integral is formally given by a determinant built from a first-order differential operator with coherent state boundary conditions. We show how this determinant can be expressed in terms of the symplectic tran...
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The coherent-state path-integral representation for the propagator of fermionic systems subjected to first-class constraints is constructed. As in the bosonic case the importance of path-integral measures for Lagrange multipliers is emphasized. One example is discussed in some detail.
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We construct integrable models on flag manifold by using the symplectic structure explicitly given in the Bruhat coordinatization of flag manifold. They are non-commutative integrable and some of the conserved quantities are given by the Casimir invariants. We quantize the systems using the coherent state path integral technique and find the exact expression for the propagator for some special ...
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We consider a set of operators x̂ = (x̂1, . . . , x̂N ) with diagonal representatives P (n) in the space of generalized coherent states |n〉 : x̂ = ∫ dμ(n)P (n)|n〉〈n|. We regularize the coherent-state path integral as a limit of a sequence of averages 〈 〉L over polygonal paths with L vertices n1...L. The distribution of the path centroid P̄ = 1 L ∑L l=1 P (nl) tends to the Wigner function W (x), the ...
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It is pointed out that there are some fundamental difficulties with the frequently used continuous-time formalism of the spin-coherent-state path integral. They arise already in a single-spin system and at the level of the ”classical action” not to speak of fluctuations around the ”classical path”. Similar difficulties turn out to be present in the case of the (boson-)coherentstate path integra...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2005
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.72.025004