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The Semiclassical Way to Dynamics and Spectroscopy
Eric J. Heller
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
A graduate-level text that examines the semiclassical approach to quantum mechanics
Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples.
In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding.
Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics.
- A comprehensive approach for using classical mechanics to do quantum mechanics
- More than two hundred figures to assist intuition
- Emphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopy
- Chapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics
Kundenbewertungen
Quantum fluctuation, Amplitude, Particle statistics, Wave packet, Quantum system, Coherent anti-Stokes Raman spectroscopy, Condensed matter physics, Quantum Hall effect, Raman spectroscopy, Quantum dynamics, Quantum oscillations (experimental technique), Time evolution, Quantum statistical mechanics, Wave–particle duality, Absorption spectroscopy, Correlation function (quantum field theory), Diffraction, Bessel function, Eigenvalues and eigenvectors, Expectation value (quantum mechanics), Quantum harmonic oscillator, Wavelength, Quantum mechanics, Equation, WKB approximation, Mathematical formulation of quantum mechanics, Probability, Quantum decoherence, Classical mechanics, Molecular vibration, Dirac delta function, Dimension, Photon, Basis set (chemistry), Molecule, Phase space, Spectroscopy, Ergodicity, Quantum electrodynamics, Degeneracy (mathematics), Propagator, Optical theorem, Perturbation theory, Fourier transform, Quantum number, Quantum tunnelling, Variational method (quantum mechanics), Quantum state, Born–Oppenheimer approximation, Fractional quantum Hall effect, Perturbation theory (quantum mechanics), Quantum entanglement, Quantum reflection, Energy level, Fermi level, Potential energy surface, Introduction to quantum mechanics, Degrees of freedom (statistics), Statistical ensemble (mathematical physics), Degrees of freedom (physics and chemistry), Two-dimensional space, Quantum point contact, Quantum chaos, Harmonic oscillator, Raman scattering, Autocorrelation, Hamiltonian mechanics, Eigenfunction, Quantum ergodicity, Chaos theory