Śniatycki, Jędrzej
Overview
Works:  71 works in 167 publications in 3 languages and 2,626 library holdings 

Roles:  Author 
Classifications:  QA1, 510.8 S 
Publication Timeline
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Most widely held works by
Jędrzej Śniatycki
Geometric quantization and quantum mechanics by
Jędrzej Śniatycki(
Book
)
15 editions published between 1976 and 1980 in English and German and held by 412 WorldCat member libraries worldwide
This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics
15 editions published between 1976 and 1980 in English and German and held by 412 WorldCat member libraries worldwide
This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics
Geometry of classical fields by
Ernst Binz(
Book
)
23 editions published between 1988 and 2011 in English and held by 268 WorldCat member libraries worldwide
This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action
23 editions published between 1988 and 2011 in English and held by 268 WorldCat member libraries worldwide
This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action
Differential geometry of singular spaces and reduction of symmetry by
Jędrzej Śniatycki(
Book
)
8 editions published in 2013 in English and held by 119 WorldCat member libraries worldwide
"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"
8 editions published in 2013 in English and held by 119 WorldCat member libraries worldwide
"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"
Geometry of nonholonomically constrained systems by
Richard H Cushman(
Book
)
17 editions published between 2009 and 2010 in English and held by 116 WorldCat member libraries worldwide
"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat." "The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trailblazers in their respective fields."Jacket
17 editions published between 2009 and 2010 in English and held by 116 WorldCat member libraries worldwide
"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat." "The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trailblazers in their respective fields."Jacket
Cząsteczki i energia by
Eric M Rogers(
Book
)
6 editions published between 1967 and 1986 in Polish and held by 6 WorldCat member libraries worldwide
6 editions published between 1967 and 1986 in Polish and held by 6 WorldCat member libraries worldwide
Regular multisymplectic reduction by
Jędrzej Śniatycki(
Book
)
3 editions published between 2001 and 2002 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 2001 and 2002 in English and held by 3 WorldCat member libraries worldwide
Wave functions relative to a real polarization by
Jędrzej Śniatycki(
Book
)
3 editions published between 1974 and 1975 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1974 and 1975 in English and held by 3 WorldCat member libraries worldwide
Dirac brackets in geometric dynamics by
Jędrzej Śniatycki(
Book
)
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
YangMills and Dirac fields with inhomogeneous boundary conditions by Günter Schwarz(
Book
)
3 editions published between 1996 and 1997 in English and held by 2 WorldCat member libraries worldwide
3 editions published between 1996 and 1997 in English and held by 2 WorldCat member libraries worldwide
Differential structure of orbit spaces by
Richard H Cushman(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
On representation spaces in geometric quantization by
Jędrzej Śniatycki(
Book
)
2 editions published in 1977 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 2 WorldCat member libraries worldwide
Almost poisson spaces and nonholonomic singular reduction by
Jędrzej Śniatycki(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
Special symplectic spaces by
B Lawruk(
Book
)
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1973 in English and held by 2 WorldCat member libraries worldwide
BohrSommerfeld quantum systems by
Jędrzej Śniatycki(
Book
)
2 editions published in 1974 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1974 in English and held by 2 WorldCat member libraries worldwide
On cohomology groups appearing in geometric quantization by
Jędrzej Śniatycki(
Book
)
2 editions published in 1975 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 2 WorldCat member libraries worldwide
Application of geometric quantization in quantum mechanics by
Jędrzej Śniatycki(
Book
)
2 editions published between 1977 and 1978 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1977 and 1978 in English and held by 2 WorldCat member libraries worldwide
On particles with gauge degrees of freedom by
Jędrzej Śniatycki(
Book
)
2 editions published in 1980 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1980 in English and held by 2 WorldCat member libraries worldwide
YangMills and Dirac fields in a bag by G Schwarz(
Book
)
3 editions published between 1992 and 1994 in English and held by 1 WorldCat member library worldwide
3 editions published between 1992 and 1994 in English and held by 1 WorldCat member library worldwide
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Associated Subjects
Caratheodory measure Dynamics Field theory (Physics) Function spaces Gauge fields (Physics) Geometry, Differential Global analysis (Mathematics) Group theory Homology theory Nonholonomic dynamical systems Particles (Nuclear physics) Physics Quantum theory Rigidity (Geometry) Set theory Submanifolds Symmetry Symmetry (Mathematics) Symplectic manifolds Wave functions