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Oscillator representation

Known as: Olshanskii semigroup, Holomorphic Fock space, Segal-Shale-Weil representation 
In mathematics, the oscillator representation is a projective unitary representation of the symplectic group, first investigated by Irving Segal… Expand
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Related topics

Related topics

11 relations
Canonical commutation relationCoherent statesConvolutionHilbert space
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Weyl calculus in QED I. The unitary group
In this work, we consider fixed $1/2$ spin particles interacting with the quantized radiation field in the context of quantum… Expand
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Highly Cited
2006
Highly Cited
2006
The Weil Representation
This is my senior honors thesis done in my final year as an undergraduate at Stanford University, under the direction of… Expand
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2005
2005
WEYL QUANTIZATION AND A SYMBOL CALCULUS FOR ABELIAN GROUPS
We develop a notion of a -product on a general abelian group, establish a Weyl calculus for operators on the group and connect… Expand
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Highly Cited
1998
Highly Cited
1998
Statistical mechanical description and modelling of turbulent collision of inertial particles
The collision rate of monodisperse solid particles in a turbulent gas is governed by a wide range of scales of motion in the flow… Expand
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1996
1996
HOLOMORPHIC QUANTIZATION ON THE TORUS AND FINITE QUANTUM MECHANICS
We explicitly construct the quantization of classical linear maps of on toroidal phase space, of arbitrary modulus, using the… Expand
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Highly Cited
1996
Highly Cited
1996
Representation theory of the vertex algebraW1+∞
In our paper [KR] we began a systematic study of representations of the universal central extension of the Lie algebra of… Expand
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Highly Cited
1994
Highly Cited
1994
The First Law of Robotics (A Call to Arms)
Even before the advent of Artificial Intelligence, science fiction writer Isaac Asimov recognized that an agent must place the… Expand
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Highly Cited
1990
Highly Cited
1990
Intersection numbers of cycles on locally symmetric spaces and fourier coefficients of holomorphic modular forms in several complex variables
Using the theta correspondence we construct liftings from the cohomology with compact supports of locally symmetric spaces… Expand
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Highly Cited
1984
Highly Cited
1984
Radar ambiguity functions, the Heisenberg group, and holomorphic theta series
The concept of linear Schrodinger representation of the real Heisenberg nilpotent group and its various realizations is used to… Expand
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Highly Cited
1978
Highly Cited
1978
THE UNIQUENESS OF INFINITE LOOP SPACE MACHINES
AN INFINITE loop space machine is a functor which constructs spectra out of simpler space level data. There are many such… Expand
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