Perelomov, A. M. (Askolʹd Mikhaĭlovich) 1935
Overview
Works:  70 works in 175 publications in 3 languages and 1,312 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author 
Publication Timeline
.
Most widely held works by
A. M Perelomov
Generalized coherent states and their applications by
A. M Perelomov(
Book
)
15 editions published between 1986 and 2014 in English and Undetermined and held by 400 WorldCat member libraries worldwide
This monograph treats an extensively developed field in modern mathematical physics  the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow PhysicoTechnical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks
15 editions published between 1986 and 2014 in English and Undetermined and held by 400 WorldCat member libraries worldwide
This monograph treats an extensively developed field in modern mathematical physics  the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow PhysicoTechnical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks
Integrable systems of classical mechanics and Lie algebras by
A. M Perelomov(
Book
)
in English and held by 216 WorldCat member libraries worldwide
This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the socalled isospectral deformation method which makes extensive use of grouptheoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Liealgebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with manybody systems of generalized CalogeroMoser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the grouptheoretic point of view. Chapter 5 investigates some additional topics related to manybody systems. The book will be valuable to students as well as researchers
in English and held by 216 WorldCat member libraries worldwide
This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the socalled isospectral deformation method which makes extensive use of grouptheoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Liealgebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with manybody systems of generalized CalogeroMoser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the grouptheoretic point of view. Chapter 5 investigates some additional topics related to manybody systems. The book will be valuable to students as well as researchers
Quantum mechanics : selected topics by
A. M Perelomov(
Book
)
23 editions published between 1998 and 2001 in English and Undetermined and held by 192 WorldCat member libraries worldwide
It can serve as a good supplement to any quantum mechanics textbook, filling the gap between standard textbooks and higherlevel books on the one hand and journal articles on the other. This book provides a detailed treatment of the scattering theory, multidimensional quasiclassical approximation, nonstationary problems for oscillators and the theory of unstable particles. It will be useful for postgraduate students and researchers who wish to find new, interesting information hidden in the depths of nonrelativistic quantum mechanics
23 editions published between 1998 and 2001 in English and Undetermined and held by 192 WorldCat member libraries worldwide
It can serve as a good supplement to any quantum mechanics textbook, filling the gap between standard textbooks and higherlevel books on the one hand and journal articles on the other. This book provides a detailed treatment of the scattering theory, multidimensional quasiclassical approximation, nonstationary problems for oscillators and the theory of unstable particles. It will be useful for postgraduate students and researchers who wish to find new, interesting information hidden in the depths of nonrelativistic quantum mechanics
Scattering, reactions and decay in nonrelativistic quantum mechanics. (Rasseyanie, reaktsii i raspady v nerelyativistskoi
kvantovoi mekhanike) by
A. I Bazʹ(
Book
)
13 editions published in 1969 in English and Italian and held by 171 WorldCat member libraries worldwide
13 editions published in 1969 in English and Italian and held by 171 WorldCat member libraries worldwide
Integrable systems of classical mechanics and Lie algebras : Volume I by
A. M Perelomov(
)
5 editions published in 1990 in English and held by 68 WorldCat member libraries worldwide
This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the socalled isospectral deformation method which makes extensive use of grouptheoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Liealgebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with manybody systems of generalized CalogeroMoser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the grouptheoretic point of view. Chapter 5 investigates some additional topics related to manybody systems. The book will be valuable to students as well as researchers
5 editions published in 1990 in English and held by 68 WorldCat member libraries worldwide
This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the socalled isospectral deformation method which makes extensive use of grouptheoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Liealgebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with manybody systems of generalized CalogeroMoser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the grouptheoretic point of view. Chapter 5 investigates some additional topics related to manybody systems. The book will be valuable to students as well as researchers
Rassei︠a︡nie, reakt︠s︡ii i raspady v nereli︠a︡tivistskoĭ kvantovoĭ mekhanike by
A. I Bazʹ(
Book
)
6 editions published between 1966 and 1971 in Russian and held by 40 WorldCat member libraries worldwide
6 editions published between 1966 and 1971 in Russian and held by 40 WorldCat member libraries worldwide
Integrable systems of classical mechanics and Lie algebras by
A. M Perelomov(
Book
)
3 editions published in 1990 in English and held by 33 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 33 WorldCat member libraries worldwide
Integrable systems of classical mechanics and Lie algebras by
A. M Perelomov(
Book
)
11 editions published in 1990 in English and Undetermined and held by 31 WorldCat member libraries worldwide
11 editions published in 1990 in English and Undetermined and held by 31 WorldCat member libraries worldwide
Rassejanie, reakcii i raspady v nereljativistskoj kvatovoj mechanike by
A. I Bazʹ(
Book
)
3 editions published between 1966 and 1971 in Undetermined and Russian and held by 14 WorldCat member libraries worldwide
3 editions published between 1966 and 1971 in Undetermined and Russian and held by 14 WorldCat member libraries worldwide
Integrable systems of classical mechanics and lie algebras by
A. M Perelomov(
Book
)
6 editions published between 1989 and 1990 in English and held by 14 WorldCat member libraries worldwide
6 editions published between 1989 and 1990 in English and held by 14 WorldCat member libraries worldwide
Supersymmetric chiral models : geometrical aspects by
A. M Perelomov(
Book
)
3 editions published in 1989 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 9 WorldCat member libraries worldwide
Obobshchennye kogerentnye sostoi︠a︡nii︠a︡ i ikh primenenii︠a︡ by
A. M Perelomov(
Book
)
2 editions published in 1987 in Russian and held by 9 WorldCat member libraries worldwide
2 editions published in 1987 in Russian and held by 9 WorldCat member libraries worldwide
Chiral models : geometrical aspects by
A. M Perelomov(
Book
)
2 editions published in 1987 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 9 WorldCat member libraries worldwide
Selected topics on classical integrable systems by
A. M Perelomov(
Book
)
4 editions published in 1995 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1995 in English and held by 8 WorldCat member libraries worldwide
Integriruemye sistemy klassicheskoĭ mekhaniki i algebry Li by
A. M Perelomov(
Book
)
5 editions published between 1983 and 1990 in Russian and held by 8 WorldCat member libraries worldwide
5 editions published between 1983 and 1990 in Russian and held by 8 WorldCat member libraries worldwide
Quantum integrable systems related to Lie algebras by
M. A Olshanetsky(
Book
)
3 editions published in 1983 in English and Undetermined and held by 8 WorldCat member libraries worldwide
3 editions published in 1983 in English and Undetermined and held by 8 WorldCat member libraries worldwide
Integrable systems of classical mechanics and Lie algebras by
A. M Perelomov(
Book
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
Classical integrable finitedimensional systems related to lie algebras by
M. A Olshanetsky(
Book
)
2 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
Dynamical systems by
A. T Fomenko(
)
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
Integrable systems of classical mechanics in Lie algebras by
A. M Perelomov(
Book
)
1 edition published in 1990 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 4 WorldCat member libraries worldwide
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Associated Subjects
Chaotic behavior in systems Coherent states Collisions (Nuclear physics) Differentiable dynamical systems Differential equations Hamiltonian systems Hyperbolic spaces Lie algebras Lie groups Mathematical physics Mathematics Mechanics Nonholonomic dynamical systems Nuclear physics Particles (Nuclear physics) Physics Quantum field theory Quantum theory Symmetric spaces
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Alternative Names
Perelomov, A.
Perelomov, A. 1935
Perelomov, A.M.
Perelomov, A. M. 1935
Perelomov, Aksold Mikhailovich 1935
Perelomov, Askold
Perelomov, Askold M.
Perelomov, Askold M. 1935
Perelomov, Askol'd Michajlovič
Perelomov, Askolʹd Michajlovič 1935
Perelomov, Askol'd Michajlovič. [t]
Perelomov, Askol'd Mihajlovich
Perelomov, Askol'd Mihajlovitch
Perelomov, Askolʹd Mikhaĭlovich
Perelomov, Askolʹd Mikhaĭlovich 1935
Perelomov, Askold Mikhajlovich
Perelomov, Askold Mikhajlovitch
Переломов А.М.
Переломов, Аскольд Михайлович
Переломов, Аскольд Михайлович, 1935....
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