Titlebook: Quantization and Infinite-Dimensional Systems; J-P. Antoine,S. Twareque Ali,A. Odzijewicz Book 1994 Plenum Press, New York 1994 Potential.

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Anterior

Book 1994phere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Metho

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Quantization by Membranes and Integral Representations of Wave Functionsd. Inner product in this space is described purely geometrically by integration of symplectic and curvature forms over certain membranes. A new definition of a “coherent state” is suggested and the problem of minimization of such “coherent frame” is discussed in symplest examples.

羽毛长成

空洞

Supercoherent States and Geometric Quantization of a Super Kähler Supermanifoldt states. Usual coherent states for semi-simple Lie groups are parameterized by points of a symplectic homogeneous space, which is moreover a Kähler manifold. Analogously, we show here that the OSp(1/2) coherent states are parameterized by an OSp(1/2) .. This turns out to be a non-trivial example of

博识

Holomorphic Representations and Coherent Statess contains all compact groups, all simple hermitean groups, certain solvable groups and also mixed groups such as the semidirect product of the Heisenberg group and the symplectic group. In this note we describe an interesting class of irreducible unitary representations of such groups which can be

Osmosis

Covariant and Contravariant Berezin Symbols of Bounded Operators Hilbert-Schmidt operator. It is also proved that the operators .. : ..(.) →..(.) and 〈.〉 : ..(.) → ..(.) for 1 ≤ . ≤ ∞, are continuous and linear and that the .*-algebra of all bounded operators is obtained as the weak closure of ..(..(.)).

复习

可忽略

Two Approaches to Toeplitz Operators on Fock Spaceed to view a broad family of observables as Toeplitz operators. This allows to unify the operator-theoretic study, linking it with function theory via symbol analysis. Related results for special types of analytic symbols can be traced much earlier in a paper by Newman with Shapiro..