Victor Ivrii's Books

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

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Page Count

761

Publisher

Springer Nature

Published Date

ISBN 10

3030305619

ISBN 13

9783030305611

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.

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Page Count

750

Publisher

Springer Nature

Published Date

ISBN 10

3030305376

ISBN 13

9783030305376

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

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938

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Springer Nature

Published Date

ISBN 10

3030305570

ISBN 13

9783030305574

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.

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736

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Springer Nature

Published Date

ISBN 10

3030305457

ISBN 13

9783030305451

Mathematics Past and Present Fourier Integral Operators

By: J.J. Duistermaat,Victor W Guillemin,Jochen Brüning,L. Hörmander

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Mathematics Past and Present Fourier Integral Operators

By: J.J. Duistermaat,Victor W Guillemin,Jochen Brüning,L. Hörmander

What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hörmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine the basic motivations and ideas of the early sources with knowledgeable and lucid expositions on the present state of Fourier Integral Operators, thus bridging the gap between the past and present. A handy and useful introduction that will serve novices in this field and working mathematicians equally well.

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Page Count

300

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Springer Science & Business Media

Published Date

ISBN 10

3540567410

ISBN 13

9783540567417

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

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Page Count

761

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Springer Nature

Published Date

ISBN 10

3030305619

ISBN 13

9783030305611

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.

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736

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Springer Nature

Published Date

ISBN 10

3030305457

ISBN 13

9783030305451

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Functional Methods and Eigenvalue Asymptotics

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Functional Methods and Eigenvalue Asymptotics

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.

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544

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Springer Nature

Published Date

ISBN 10

3030305414

ISBN 13

9783030305413

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.

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Page Count

750

Publisher

Springer Nature

Published Date

ISBN 10

3030305376

ISBN 13

9783030305376

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

938

Publisher

Springer Nature

Published Date

ISBN 10

3030305570

ISBN 13

9783030305574

Book's by Victor Ivrii

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Mathematics Past and Present Fourier Integral Operators

Mathematics Past and Present Fourier Integral Operators

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

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