Work

Time-dependent variational principle for quantum dynamics in the Schrodinger-picture

Year: 1986

Type: conference-paper

Abstract: Starting with the exact variational formulation of quantum mechanics (or quantum field theory) in the Schroedinger picture, and using Gaussian trail wave functions, an exact functional Schroedinger equation is obtained. The time-dependent Hartree-Fock approximation is obtained and extended to many oscillators and to field theory. The problem of quantum roll, in which an initial Gaussian wave packet starting at an unstable classical equilibrium point evolves in time, is treated using this formalism. Quantum tunnelling is also studied. (LEW)

Source: University of North Texas Digital Library (University of North Texas)

Authors: Fred Cooper, S.-Y. Pi

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1584961784

FWCI:

Cites:

Cited by: 1

Related to: 10