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Stark effect in a hydrogenic atom or ion : treated by the phase-integral method /

This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrödinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, fo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fröman, Nanny
Otros Autores: Fröman, Per Olof, Hökback, A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, UK : Imperial College Press, ©2008.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Schrödinger equation, its seperation and its exact eigenfunctions. 2.1. Separation of the time-independent Schrd̈inger equation for the internal motion. 2.2. Properties of the eigenfunctions of the time-independent Schrödinger equation for the internal motion
  • 3. Development in time of the probability amplitude for a decaying state
  • 4. Phase-integral method. 4.1. Phase-integral approximation generated from an unspecified base function. 4.2. Connection formulas associated with a single transition point
  • 5. Derivation of phase-integral formulas for profiles, energies and half-widths of Stark levels. 5.1. Positions of the Stark levels. 5.2. Formulas for the calculation of dL/dE, dK[symbol]/dE and dK/dE. 5.3. Half-widths of the Stark intervals
  • 6. Procedure for transformation of the phase-integral formulas into formulas involving complete elliptic integrals
  • Adjoined papers by Anders Hökback and Per Olof Fröman
  • 7. Phase-inegral quantities and their partial derivatives with respect to [symbol] and [symbol] expressed in terms of complete elliptic integrals. 7.1. The [symbol]-equation. 7.2. The [symbol]-equation in the sub-barrier case. 7.3. The [symbol]-equation in the super-barrier case
  • 8. Numerical results.