Focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.
Adiabatic Perturbation Theory in Quantum Dynamics
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From the reviews: "The present monograph is devoted to a generalizing approach to adiabatic theory developed in recent years … . The book is clearly structured. The introduction gives an excellent non-technical overview of the problems and ideas involved. … this very readable book is a valuable reference for researchers in mathematical physics." (Karl Michael Schmidt, Mathematical Reviews, Issue 2006 g)
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Key Phrases - Statistically Improbable Phrases (SIPs):
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semiclassical symbol, semiclassical observables, conical crossing, decoupled subspace, infrared condition, adiabatic decoupling, subprincipal symbol, reference subspace, adiabatic perturbation theory, adiabatic problems, varying external potentials, semiclassical behavior, pseudodifferential calculus, eigenvalue bands, semiclassical equations, gap condition, eigenvalue crossings, semiclassical limit, adiabatic theorem, unitary propagator, classical flow, adiabatic theory, effective equations, spectral subspaces, approximate projection Key Phrases - Capitalized Phrases (CAPs): (learn more)
Dirac Hamiltonian, Born-Oppenheimer Hamiltonian, Pauli Hamiltonian New!
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semiclassical symbol, semiclassical observables, conical crossing, decoupled subspace, infrared condition, adiabatic decoupling, subprincipal symbol, reference subspace, adiabatic perturbation theory, adiabatic problems, varying external potentials, semiclassical behavior, pseudodifferential calculus, eigenvalue bands, semiclassical equations, gap condition, eigenvalue crossings, semiclassical limit, adiabatic theorem, unitary propagator, classical flow, adiabatic theory, effective equations, spectral subspaces, approximate projection Key Phrases - Capitalized Phrases (CAPs): (learn more)
Dirac Hamiltonian, Born-Oppenheimer Hamiltonian, Pauli Hamiltonian New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- Solid State Physics: Advances in Research and Applications, Vol. 32 by Henry Ehrenreich in Back Matter (1), and Back Matter (2)
- Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics) by Frédéric Cao in Back Matter
- Continuous Bounded Cohomology of Locally Compact Groups (Lecture Notes in Mathematics) by Nicolas Monod in Back Matter
- Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics) by Dang D. Ang in Back Matter
- The Decomposition of Primes in Torsion Point Fields (Lecture Notes in Mathematics) by Clemens Adelmann in Back Matter
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- Big Queues (Lecture Notes in Mathematics) by Ayalvadi J. Ganesh in Back Matter
- Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries) by Alain Connes in Back Matter
- Multiscale Problems and Methods in Numerical Simulations: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, ... Mathematics / C.I.M.E. Foundation Subseries) by James H. Bramble in Back Matter
- Gröbner Bases and the Computation of Group Cohomology (Lecture Notes in Mathematics) by David J. Green in Back Matter
- Dynamics of Charged Particles and their Radiation Field by Herbert Spohn in Back Matter
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