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Optimization of Polynomials in Non-Commuting Variables
This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithm…
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- ISBN/ISSN
- 978-3-319-33338-0
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The Inverse Problem of the Calculus of Variations
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general rela…
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- ISBN/ISSN
- 978-94-6239-109-3
- Collation
- IX, 289
- Series Title
- Atlantis Studies in Variational Geometry
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Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lame…
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- ISBN/ISSN
- 978-4-431-55702-9
- Collation
- XII, 126
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- Call Number
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Tunneling Dynamics in Open Ultracold Bosonic Systems Numerically Exact Dynam…
This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-…
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- ISBN/ISSN
- 978-3-319-07085-8
- Collation
- 43 illustrations in colour
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Extracting Physics from Gravitational Waves Testing the Strong-field Dynamic…
Tjonnie Li's thesis covers two applications of Gravitational Wave astronomy: tests of General Relativity in the strong-field regime and cosmological measurements. The first part of the thesis focuses on the so-called TIGER, i.e. Test Infrastructure for General Relativity, an innovative Bayesian framework for performing hypothesis tests of modified gravity using ground-based GW data. After devel…
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- ISBN/ISSN
- 978-3-319-19273-4
- Collation
- 17 b/w illustrations, 30 illustrations in colour
- Series Title
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- Call Number
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Tunneling Dynamics in Open Ultracold Bosonic Systems
This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-…
- Edition
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- ISBN/ISSN
- 978-3-319-07085-8
- Collation
- XIX, 139
- Series Title
- -
- Call Number
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Lattice QCD for Nuclear Physics
With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees …
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- ISBN/ISSN
- 978-3-319-08022-2
- Collation
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- Series Title
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Multidimensional Periodic Schrödinger Operator:Perturbation Theory and Appli…
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch funct…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-38671-3
- Collation
- X
- Series Title
- Springer Tracts in Modern Physics
- Call Number
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Multidimensional Periodic Schrödinger Operator
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch funct…
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- ISBN/ISSN
- 978-3-319-38671-3
- Collation
- X, 242
- Series Title
- Springer Tracts in Modern Physics
- Call Number
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Multi-Wavelength Studies of Pulsars and Their Companions
The focus of his prize-winning thesis is on observations and modeling of binary millisecond pulsars. But in addition, John Antoniadis covers a wide range of observational measurements of binary compact stars systems and tests of General Relativity, like indirect measurements of gravitational wave emission and posing the most stringent constraints on Scalar-Tensor gravity theories. Among others,…
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- 1
- ISBN/ISSN
- 978-3-319-09896-8
- Collation
- XXI, 83
- Series Title
- Springer Theses
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