Quantum Evolution: An Introduction to Time-Dependent Quantum MechanicsA unique introduction to the concepts of quantum mechanics, Quantum Evolution addresses the present status of time-dependent quantum mechanics for few-body systems with electromagnetic interactions. It bridges between the quantum mechanics of stationary quantum systems and a number of recent advanced theoretical treatises on various aspects of quantum mechanics. The focus is on strongly-quantum and semi-classical systems, including the quantum manifestations of orderly and chaotic nonlinear classical dynamics. |
Contents
Quantum Collapse and Revivals | 41 |
1c Semiclassical Propagation for the Coulomb Potential | 50 |
Further Topics in Classical Theory | 71 |
Copyright | |
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Common terms and phrases
adiabatic American Physical Society amplitude approximation barrier basis set chaos chaotic Chem classical constant coordinate Copyright curves defined driven dynamical eigenstates eigenvalues electric field electron energy eigenstates energy eigenvalues energy levels Figure fixed point Floquet Fourier transform frequency function grid points Hamilton's equations Hamiltonian Hénon-Heiles Holthaus hydrogen atom irregular Kepler problem laser Lett Lyapunov exponents magnetic field matrix elements method molecule momentum monodromy matrix Morse oscillator motion nanostructure nonintegrable nonlinear resonance numerical obtain P₁ packet parameter particle path integral pendulum periodic orbit phase space Phys Poincaré section potential energy propagation pulse quantization quantum evolution quantum mechanics quantum number quantum system quasienergy region representation rotational scaled Schrödinger equation semiclassical separatrix shown in Fig Skodje solution spatial grid spectral Springer-Verlag stochastic layer Sturmian theory time-dependent Tomsovic tori trajectory tunneling unstable periodic orbit values variables vector vibrational wavefunction wavepacket zero