Amrein, Werner O.
Overview
Works:  39 works in 152 publications in 3 languages and 2,153 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator 
Publication Timeline
.
Most widely held works by
Werner O Amrein
SturmLiouville theory : past and present by
Werner O Amrein(
)
26 editions published in 2005 in English and German and held by 587 WorldCat member libraries worldwide
This collection of articles on SturmLiouville theory is based on lectures presented at the colloquium and workshop held in Geneva on the occasion of Sturm's 200th anniversary. A historical survey of the field is combined with indepth coverage of later developments and contemporary research in this major area of modern mathematics and its applications. The authors are among the world's leading experts in this field
26 editions published in 2005 in English and German and held by 587 WorldCat member libraries worldwide
This collection of articles on SturmLiouville theory is based on lectures presented at the colloquium and workshop held in Geneva on the occasion of Sturm's 200th anniversary. A historical survey of the field is combined with indepth coverage of later developments and contemporary research in this major area of modern mathematics and its applications. The authors are among the world's leading experts in this field
Scattering theory in quantum mechanics : physical principles and mathematical methods by
Werner O Amrein(
Book
)
10 editions published in 1977 in English and held by 337 WorldCat member libraries worldwide
10 editions published in 1977 in English and held by 337 WorldCat member libraries worldwide
C₀groups, commutator methods, and spectral theory of NBody Hamiltonians by
Werner O Amrein(
Book
)
16 editions published between 1996 and 2014 in English and held by 294 WorldCat member libraries worldwide
This book refines the original conjugate operator method leading to essentially optimal results in ordinary differential operators, pseudodifferential operators and Nbody Schrödinger hamiltonians. Also offers a new algebraic framework for the Nbody problem
16 editions published between 1996 and 2014 in English and held by 294 WorldCat member libraries worldwide
This book refines the original conjugate operator method leading to essentially optimal results in ordinary differential operators, pseudodifferential operators and Nbody Schrödinger hamiltonians. Also offers a new algebraic framework for the Nbody problem
Hardy type inequalities for abstract differential operators by
Werner O Amrein(
Book
)
13 editions published in 1987 in English and held by 270 WorldCat member libraries worldwide
13 editions published in 1987 in English and held by 270 WorldCat member libraries worldwide
Nonrelativistic quantum dynamics by
Werner O Amrein(
Book
)
13 editions published in 1981 in English and held by 265 WorldCat member libraries worldwide
13 editions published in 1981 in English and held by 265 WorldCat member libraries worldwide
Hilbert space methods in quantum mechanics by
Werner O Amrein(
Book
)
9 editions published between 2007 and 2009 in English and held by 123 WorldCat member libraries worldwide
9 editions published between 2007 and 2009 in English and held by 123 WorldCat member libraries worldwide
C 0groups, commutator methods and spectral theory of Nbody Hamiltonians by
Werner O Amrein(
)
6 editions published between 1996 and 2013 in English and held by 74 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently develop ed technique for studying spectral properties of selfadjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudodifferential operators and N body Schrödinger hamiltonians. Another topic is a new algeb raic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamil tonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially selfcontained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multiparameter C0groups
6 editions published between 1996 and 2013 in English and held by 74 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently develop ed technique for studying spectral properties of selfadjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudodifferential operators and N body Schrödinger hamiltonians. Another topic is a new algeb raic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamil tonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially selfcontained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multiparameter C0groups
NonRelativistic Quantum Dynamics by
W. O Amrein(
)
4 editions published between 1981 and 2002 in English and held by 49 WorldCat member libraries worldwide
The bulk of known results in spectral and scattering theory for Schrodinger operators has been derived by timeindependent (also called stationary) methods, which make extensive use of re solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the timeindepen dent to the timedependent theory, due to the discovery of new, essentially timedependent proofs of a fair number of the principal results such as asymptotic completeness, absence of singularly con tinuous spectrum and properties of scattering cross sections. These new timedependent arguments are somewhat simpler than the station ary ones and at the same time considerably closer to physical in tuition, in that they are based on a rather detailed description of the time evolution of states in configUration space (whence the designation "geometric methods" used by some authors). It seemed interesting to me to present some of these new meth ods from a strictly timedependent point of view, by considering as the basic mathematical object strongly continuous unitary one parameter groups and avoiding the spectral theorem completely. The present volume may be viewed as an essay in this spirit. It is an extended version of a course taught in 1979 at the University of Geneva to undergraduate students enrolled in mathematical physics
4 editions published between 1981 and 2002 in English and held by 49 WorldCat member libraries worldwide
The bulk of known results in spectral and scattering theory for Schrodinger operators has been derived by timeindependent (also called stationary) methods, which make extensive use of re solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the timeindepen dent to the timedependent theory, due to the discovery of new, essentially timedependent proofs of a fair number of the principal results such as asymptotic completeness, absence of singularly con tinuous spectrum and properties of scattering cross sections. These new timedependent arguments are somewhat simpler than the station ary ones and at the same time considerably closer to physical in tuition, in that they are based on a rather detailed description of the time evolution of states in configUration space (whence the designation "geometric methods" used by some authors). It seemed interesting to me to present some of these new meth ods from a strictly timedependent point of view, by considering as the basic mathematical object strongly continuous unitary one parameter groups and avoiding the spectral theorem completely. The present volume may be viewed as an essay in this spirit. It is an extended version of a course taught in 1979 at the University of Geneva to undergraduate students enrolled in mathematical physics
Scattering theory in quantum mechanics : physical principles and mathematical methods by
Werner O Amrein(
Book
)
4 editions published in 1977 in English and Undetermined and held by 40 WorldCat member libraries worldwide
4 editions published in 1977 in English and Undetermined and held by 40 WorldCat member libraries worldwide
Negative Widerstände by
Werner Amrein(
Book
)
6 editions published in 1942 in 3 languages and held by 22 WorldCat member libraries worldwide
6 editions published in 1942 in 3 languages and held by 22 WorldCat member libraries worldwide
Localizability for particles of mass zero : =b Localisabilité pour particules de masse nulle by
Werner O Amrein(
)
9 editions published between 1968 and 1969 in English and French and held by 21 WorldCat member libraries worldwide
9 editions published between 1968 and 1969 in English and French and held by 21 WorldCat member libraries worldwide
Nonrelativistic quantum dynamics by
Werner Oskar Amrein(
Book
)
1 edition published in 1981 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 13 WorldCat member libraries worldwide
Proceedings of the Conference "Mathematical Results in Quantum Mechanics", Ascona, Switzerland, June 2328, 1996 by Conference "Mathematical Results in Quantum Mechanics"(
Book
)
3 editions published in 1997 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 12 WorldCat member libraries worldwide
C Ogroups, commutator methods and spectral theory of Nbody Hamiltonians by
Werner O Amrein(
Book
)
1 edition published in 1996 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 10 WorldCat member libraries worldwide
Fortschritte der Uhrentechnik durch Forschung : vom Skisprung zum Skiflug ; Festschrift für Herrn Dr. Ing. Ehrenhalber Reinhard
Straumann(
Book
)
2 editions published in 1952 in German and held by 6 WorldCat member libraries worldwide
2 editions published in 1952 in German and held by 6 WorldCat member libraries worldwide
Charles François Sturm (18031855) : Colloquium and workshop on the occasion of his 200th anniversary, Geneva, Switzerland,
September 1519, 2003(
Book
)
1 edition published in 2003 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 4 WorldCat member libraries worldwide
Cogroups, commutator methods and spectral theory of Nbody Hamiltonians by
Werner O Amrein(
Book
)
3 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
C[0]groups, commutator methods and spectral theory of Nbody Hamiltonians by
Werner O Amrein(
Book
)
2 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
C{27}b0{27}sgroups, commutator methods, and spectral theory of NBody Hamiltonians by
Werner O Amrein(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
Cogroups, commutator methods and spectral theory of Nbody Hamiltonians by
Werner O Amrein(
Book
)
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Associated Subjects
Algebra Algebraic topology Associative rings Differential equations, Partial Differential equations, PartialAsymptotic theory Differential equationsQualitative theory Differential operators Functions of complex variables Global analysis (Mathematics) Hamiltonian operator Harmonic analysis Hilbert space Inequalities (Mathematics) Mathematics Nonrelativistic quantum mechanics Operator theory Physics Quantum theory Quantum theoryMathematics Rings (Algebra) Scattering (Mathematics) Scattering (Physics) Selfadjoint operators Spectral theory (Mathematics) SturmLiouville equation