10.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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15 papers · 2 filters
Statistical Properties of Schrödinger Real and Imaginary Cat States
V. V. Dodonov, S. Yu. Kalmykov, V. I. Man'ko
We study the Photon statistics in the superpositions of coherent states and named ``Schrödinger real and imaginary cat states''. The oscillatory character…
The Calogero Model and the Virasoro Symmetry
E. Bergshoeff, M. Vasiliev
We construct new realizations of the Virasoro algebra inspired by the Calogero model. The Virasoro algebra we find acts as a kind of spectrum-generating algebra of the Calogero mod…
QED with Nonzero Fermion Density and Quantum Hall Effect
Vadim Zeitlin
A general expression for the conductivity in the QED with nonzero fermion density in the uniform magnetic field is derived. It is shown that the conductivity is entirely de…
Quantum Deformations of -functions, Bilinear Identities and Representation Theory
A. Mironov
This paper is a brief review of recent results on the concept of ``generalized -function'', defined as a generating function of all the matrix elements in a given highest-weight…
Split Involution Coupled to Actual Gauge Symmetry
I. A. Batalin, S. L. Lyakhovich, I. V. Tyutin
The split involution quantization scheme, proposed previously for pure second--class constraints only, is extended to cover the case of the presence of irreducible first--class con…
Statistics of parametrically excited photon--added coherent states
V. V. Dodonov, Ya. A. Korennoy, V. I. Man'ko +1
Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $\vert α,m \rang…
Nonclassical Light in Interferometric Measurements
N. A. Ansari, L. Di Fiore, M. A. Man'ko +4
It is shown that the even and odd coherent light and other nonclassical states of light like superposition of coherent states with different phases may replace the squeezed light i…
Strong oscillations of cumulants of photon distribution function in slightly squeezed states
V. V. Dodonov, I. M. Dremin, V. I. Man'ko +1
The cumulants and factorial moments of photon distribution for squeezed and correlated light are calculated in terms of Chebyshev, Legendre and Laguerre polynomials. The phenomenon…
The one-loop effective action and trace anomaly in four dimensions
A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky +1
The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to…
Generalized Hirota Equations and Representation Theory. I. The case of and "
A. Gerasimov, S. Khoroshkin, D. Lebedev +2
This paper begins investigation of the concept of ``generalized -function'', defined as a generating function of all the matrix elements of a group element in a given…
String theory and classical integrable systems
A. Marshakov
We discuss different formulations and approaches to string theory and quantum gravity. The generic idea to get a unique description of {\it many} different string vacua altog…
Variational Formulation of Linear Time-Dependent Invariants
O. Castaños, R. López-Peña, V. I. Man'ko
It is shown that linear time-dependent invariants for arbitrary multi\-dimensional quadratic systems can be obtained from the Lagrangian and Hamiltonian formulation procedures by c…
Unitary matrix integrals in the framework of Generalized Kontsevich Model. I. Brezin-Gross-Witten Model
A. Mironov, A. Morozov, G. Semenoff
We advocate a new approach to the study of unitary matrix models in external fields which emphasizes their relationship to Generalized Kontsevich Models (GKM) with non-polynomial p…
On the Multilevel Field--Antifield Formalism with the Most General Lagrangian Hypergauges
I. A. Batalin, I. V. Tyutin
The multilevel field-antifield formalism is constructed in a geometrically covariant way without imposing the unimodularity conditions on the hypergauge functions. Thus the previou…
Towards a Generalized Distribution Formalism for Gauge Quantum Fields
M. A. Soloviev
We prove that the distributions defined on the Gelfand-Shilov spaces, and hence more singular than hyperfunctions, retain the angular localizability property. Specifically, they ha…