Elements of photoionization quantum dynamics methods / Lampros A.A. Nikolopoulos.

Nikolopoulos, Lampros A. A. [Browse]
  • San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]
  • Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]
1 online resource (various pagings) : illustrations (some color).


Biographical/​Historical note
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 Comupational 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'.
Summary note
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 Schrödinger 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.
  • "Version: 20190301"--Title page verso.
  • "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Bibliographic references
Includes bibliographical references.
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  • Mode of access: World Wide Web.
  • System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Source of description
Title from PDF title page (viewed on April 1, 2019).
  • 1. Introduction
  • 2. Quantum dynamics
  • 2.1. Hilbert vector states
  • 2.2. Subspace dynamics
  • 2.3. von Neumann (density) matrix states
  • 2.4. Homework problems
  • 3. Atomic potentials
  • 3.1. Central field
  • 3.2. Harmonic oscillator
  • 3.3. Homework problems
  • 4. Laser pulses
  • 4.1. Classical electrodynamics
  • 4.2. Laser pulses in the paraxial approximation
  • 4.3. Coherent and partially coherent fields
  • 4.4. Homework problems
  • 5. Quantum systems in laser fields
  • 5.1. Atomic TDSE in the dipole approximation
  • 5.2. Time-dependent perturbation theory
  • 5.3. Driven quantum oscillator
  • 5.4. Homework problems
  • 6. Amplitude coefficient equations
  • 6.1. Two-level systems
  • 6.2. Ionization
  • 6.3. Resonant excitation and (auto-)ionization
  • 6.4. Homework problems
  • 7. Density-matrix element equations
  • 7.1. Resonant ionization
  • 7.2. Ionization in stochastic fields
  • 7.3. Homework problems
  • 8. Matrix elements of atomic operators
  • 8.1. Atomic operators on the angular basis
  • 8.2. Inversion symmetry (parity)
  • 8.3. Plane waves as a momentum basis
  • 8.4. One- and two-electron ionization amplitudes
  • 8.5. Homework problems
  • 9. TDSE of hydrogen-like atoms in laser fields
  • 9.1. Spectral and angular basis formulation
  • 9.2. Calculation of observables
  • 9.3. Practical considerations
  • 9.4. Homework problems
  • 10. Space division of a one-dimensional TDSE
  • 10.1. Time-independent potential
  • 10.2. Time-dependent potential
  • 10.3. Homework problems
  • 11. Quantum mechanics of vector- and matrix-states
  • 11.1. Vectors and operators
  • 11.2. Statistical matrix state (or density matrix)
  • 11.3. Position representation
  • 11.4. Degenerate systems
  • 11.5. Homework problems
  • 12. Technicalities
  • 12.1. Radial atomic Schrödinger equation
  • 12.2. Time-propagation methods
  • 12.3. B-spline polynomial basis
  • Appendix A. Mathematical formalism.
Other format(s)
Also available in print.
  • 10.1088/2053-2571/aaf10d
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