Elements of photoionization quantum dynamics methods /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nikolopoulos, Lampros A. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Quantum physics (quantum mechanics & quantum field theory).
SCIENCE / Physics / Quantum Theory.
Quantum theory.
Photoionization.
Laser pulses, Ultrashort.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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