𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Calculation of the coherent memory functions from the eigenvalues and eigenvectors of the corresponding stationary Schrödinger equation

✍ Scribed by L. Skála

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
334 KB
Volume
23
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Using some properties of the Bessel functions the algebraic representation of the Nakajima–Zwanzig generalized master equation was derived. This representation makes possible the calculation of the memory functions in terms of the probabilities. Using this approach, the formulas for the memory functions giving their dependence on the eigenvalues and eigenvectors of the corresponding stationary Schrödinger equation are given and discussed in detail.

📜 SIMILAR VOLUMES

Numerical calculation of eigenvalues for
Numerical calculation of eigenvalues for the Schrödinger equation. III
✍ J. W. Neuberger; D. W. Noid 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 276 KB

A recently developed method for calculation of eigenvalues is applied to a four coupled oscillator system previously used to test more approximate methods. Analysis is presented to show how the present method scales for systems of two, three, and four coupled oscillator systems.

Bound states of the coupled-channel Schr
Bound states of the coupled-channel Schrödinger equation: General eigenvalue function
✍ Khaled Fakhreddine; Hafez Kobeissi; Mahmoud Korek 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB 👁 1 views

The eigenvalue problem for a system of N coupled one-dimensional Schrodinger equations, arising in bound state in quantum mechanics, is considered. A canonical approach for the calculation of the energy eigenvalues of this system is presented. This method replaces the use of the wave functions by 2

A program for the calculation of energy
A program for the calculation of energy eigenvalues and eigenstates of a schrödinger equation
✍ V. Fack; G. Vanden Berghe 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 724 KB

Title of the program: SCHROD dimensional Schrodinger equation Catalogue number: AADV dy(x) +(E-V(x))y(x)=0, Program obtainable from: CPC Program Library, Queen's Uni-where E denotes the eigenvalue parameter and V(x) the potenversity of Belfast, N. Ireland (see application form in this issue) tial. C

A direct relaxation method for calculati
A direct relaxation method for calculating eigenfunctions and eigenvalues of the schrödinger equation on a grid
✍ R. Kosloff; H. Tal-Ezer 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 916 KB

Eigenfunctions and eigenvalues of the Schrtiinger equation are determined by propagating the Schrodinger equation in imaginary time. The method is based on representing the Hamiltonian operation on a grid. The kinetic energy is calculated by the Fourier method. The propagation operator is expanded i