Title Elements of Photoionization Quantum Dynamics Methods
Subtitle
Author Lampros A A Nikolopoulos
ISBN 9781681747132
List price USD 79.95
Price outside India Available on Request
Original price
Binding Paperback
No of pages 194
Book size 178 x 254 mm
Publishing year 2019
Original publisher Morgan & Claypool Publishers (Eurospan Group)
Published in India by .
Exclusive distributors Viva Books Private Limited
Sales territory India, Sri Lanka, Bangladesh, Pakistan, Nepal, .
Status New Arrival
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Description:

The dynamics of quantum systems exposed to ultrafast (at the femtosecond time-scale) and strong laser radiation has a highly non-linear character, leading to a number of new phenomena, outside the reach of traditional spectroscopy. The current laser technology makes feasible the probing and control of quantum-scale systems with fields that are as strong as the interatomic Coulombic interactions and time resolution that is equal to (or less than) typical atomic evolution times. It is indispensable that any theoretical description of the induced physical processes should rely on the accurate calculation of the atomic structure and a realistic model of the laser radiation as pulsed fields. This book aims to provide an elementary introduction of theoretical and computational methods and by no means is anywhere near to complete. The selection of the topics as well as the particular viewpoint is best suited for early-stage students and researchers; the included material belongs in the mainstream of theoretical approaches albeit using simpler language without sacrificing mathematical accuracy. Therefore, subjects such as the Hilbert vector-state, density-matrix operators, amplitude equations, Liouville equation, coherent laser radiation, free-electron laser, Dyson-chronological operator, subspace projection, perturbation theory, stochastic density-matrix equations, time-dependent Schroedinger equation, partial-wave analysis, spherical-harmonics expansions, basis and grid wavefunction expansions, ionization, electron kinetic-energy and angular distributions are presented within the context of laser-atom quantum dynamics.


Contents:

Prologue

Acknowledgments

 Author biography

Glossary of symbols

Chapter 1. Introduction

Chapter 2. Quantum dynamics • Hilbert vector states • Iterative expansion • Basis expansion • Subspace dynamics • von Neumann (density) matrix states • IP iterative expansion Homework problems • References

Chapter 3. Atomic potentials • Central field • Harmonic oscillator • Homework problems • References

Chapter 4. Laser pulses • Classical electrodynamics • Laser pulses in the paraxial approximation • Coherent and partially coherent fields • Homework problems • References

Chapter 5. Quantum systems in laser fields • Atomic TDSE in the dipole approximation • Time-dependent perturbation theory • Elements of Photoionization Quantum Dynamics Methods • Driven quantum oscillator • Homework problems • References

Chapter 6. Amplitude coefficient equations • Two-level systems • Ionization • Single-photon ionization • Resonant excitation and (auto-)ionization • Homework problems • References

Chapter 7. Density-matrix element equations • Resonant ionization • Ionization in stochastic fields • Averaged equations for resonant auto-ionization • Homework problems • References

Chapter 8. Matrix elements of atomic operators • Atomic operators on the angular basis • Central-field Hamiltonian and dipole operators • Molecular diatomic potential • Inversion symmetry (parity) • Plane waves as a momentum basis • One- and two-electron ionization amplitudes • Homework problems • References

Chapter 9. TDSE of hydrogen-like atoms in laser fields • Spectral and angular basis formulation • Spectral basis • Angular basis • Calculation of observables • Practical considerations • Homework problems • References

Chapter 10. Space division of a one-dimensional TDSE • Time-independent potential • Time-dependent potential • Homework problems • References

Chapter 11. Quantum mechanics of vector- and matrix-states • Vectors and operators • Statistical matrix state (or density matrix) • Density-state operator • Position representation • Degenerate systems • Homework problems • References

Chapter 12. Technicalities • Radial atomic Schrödinger equation • Calculation of radial eigenstates • Box-normalization of the continuum states • Free boundary conditions • Time-propagation methods • B-spline polynomial basis • References

Appendix A: Mathematical formalism


About the Author:

Lampros Nikolopoulos, PhD, is a lecturer at the School of Physical Sciences at Dublin City University (DCU). He was brought up in Greece and holds a BSc (Hons) in physics from the Physics Department of the University of Athens, and an MSc and PhD in theoretical atomic physics from the University of Crete, Greece. His previous posts include MPQ-Garching in Germany, IFA-Aarhus in Denmark, and QUB-Belfast in the UK, before he settled in Dublin. His research interests include ultra-short laser-matter quantum dynamics and development of high-performance computational methods. A recent thesis supervised by him received a prize from the UK-IOP Computational Group as the ‘Best PhD Thesis in Compuational Physics’ for the year 2016. He has (co)authored over 80 journal articles, two book chapters and co-edited a special issue on ‘short-wavelength free electron lasers’.


Target Audience:

This book is intended for new comers who would like to have an introductory (soft) crash- course in ultra- short laser- atomic dynamics methods. It is useful for people interested in quantum mechanics and physics.

 

 
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