Published April 1976
| Version v1
Journal article
Phase factors in bases for solutions of time-dependent Schroedinger equations
Creators
- 1. Max-Planck-Institut fuer Kernphysik, Heidelberg (F.R. Germany)
- 2. Washington Univ., Seattle (USA). Dept. of Physics
Description
The time-dependent Schroedinger equation is formulated within a model space by means of a finite set of coupled, linear differential equations. The basis is spanned by a set of orthogonal and well-defined many body wave-functions, which are solutions of a model Hamiltonian in a 'moving frame'. As a by-product one is able to separate approximatively collective potential, collective kinetic, and intrinsic excitation energy for arbitrary collective motion. For the two types of motion discussed in greater details (i.e. center of mass and quadrupole motion), the expressions for the collective kinetic energy approach their correct asymptotic values. (orig.)
Abstract (German)
Die zeitabhaengige Schroedingergleichung wird in einem Modellraum mit Hilfe eines endlichen Systems gekoppelter linearer Differentialgleichungen aufgestellt. Die Grundlage bildet ein System orthogonaler und gut definierter Vielkoerper-Wellenfunktionen, die Loesungen eines Modell-Hamiltonian in einem 'bewegten System' darstellen. Nebenbei koennen die Kollektivpotential-, die kollektive kinetische und die Grundgitteranregungsenergie fuer beliebige Kollektivbewegungen naeherungsweise getrennt werden. Fuer die beiden naeher diskutierten Bewegungsarten (d.h. 'center of mass'- und Quadrupolbewegung) naehern sich die Gleichungen fuer die kollektive kinetische Energie den korrekten asymptotischen Werten. (orig./AK)Additional details
Identifiers
- DOI
- 10.1007/bf01547506;
Publishing Information
- Journal Title
- Zeitschrift f�r Physik A Atoms and Nuclei
- Journal Volume
- 277
- Journal Issue
- 1
- Series
- Z. Phys., A.
- Journal Page Range
- 83-88
- ISSN
- 0340-2193
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 7261621
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- EXCITATION; FISSION; HARTREE-FOCK METHOD; ION-ATOM COLLISIONS; KINETIC ENERGY; MANY-BODY PROBLEM; NUCLEAR DEFORMATION; POTENTIAL ENERGY; QUASI PARTICLES; SCHROEDINGER EQUATION; TIME DEPENDENCE
- Descriptors DEC
- ATOM COLLISIONS; COLLISIONS; DEFORMATION; DIFFERENTIAL EQUATIONS; ENERGY; ENERGY-LEVEL TRANSITIONS; EQUATIONS; ION COLLISIONS; NUCLEAR REACTIONS
Optional Information
- Notes
- 7 refs.; Updated automatically by Metadata and Full-Text Enrichment Agent