Journal ArticleDOI
Quantum statistical theory of interaction of an electromagnetic field with a many-level system. I
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This article is published in Theoretical and Mathematical Physics.The article was published on 1970-03-01. It has received 4 citations till now. The article focuses on the topics: Open quantum system & Electromagnetic field.read more
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Book ChapterDOI
Coherent Physics and Its Applications
TL;DR: A review of the current state of the theory of coherent cooperative phenomena is given in this paper, where the basic methods of describing them are discussed, including the theory on the density matrix, the Dicke method and its generalizations, coherent states, the differential phenomenological approach, and statistical methods; their internal unity is demonstrated.
Journal ArticleDOI
Methods of Weyl representation of the phase space and canonical transformations. I
TL;DR: In this article, it was shown that the solutions of the basic equation for the symbol of the intertwining operator of general linear canonical transformations are convenient for constructing the Green's functions of quadratic systems and studying group representations, making it possible to dispense completely with the technique of coherent states.
Book ChapterDOI
Difference Methods and Their Role in the Theory of Coherent Phenomena
V. P. Karasev,L. A. Shelepin +1 more
TL;DR: The possibility of using the calculus of finite differences in the physics of coherent phenomena is examined in this article, where the dual nature of second quantization operators is analyzed and the necessity of having a finite-difference description of the coherent phenomena as well as the differential description is pointed out.
Book ChapterDOI
Superradiance Effects in Molecular Systems
TL;DR: A generalization of Dicke's theory of coherent spontaneous emission to multilevel radiators and second-order perturbation theory is presented in this article, where superradiant effects and the structure of the coherent responses of an equilibrium system to pulses are examined.
References
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Journal ArticleDOI
Coherence in Spontaneous Radiation Processes
TL;DR: In this article, the authors considered a radiating gas as a single quantum-mechanical system, and the energy levels corresponding to certain correlations between individual molecules were described, where spontaneous emission of radiation in a transition between two such levels leads to the emission of coherent radiation.
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Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
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Exponential Operators and Parameter Differentiation in Quantum Physics
TL;DR: In this article, a wide variety of operator identities, expansions, and solutions to differential equations of interest to quantum physics are systematically derived, based on a general closed formula for the derivative of an exponential operator with respect to a parameter.
Journal ArticleDOI
The octet model and its Clebsch-Gordan coefficients
TL;DR: In this article, the Wigner-Eckart theorem is applied to derive a general mass formula for the octets and the Gell-Mann-Okubo mass relation is used to satisfy the mesons.
Journal ArticleDOI
On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
TL;DR: In this article, a symmetric vector-coupling coefficient for the group SUn is defined, and the coefficients are utilized to construct a series of canonical invariants, of which the first I2 is the familiar Casimir invariant.