Indexed metadata

Adiabatic Response to an Oscillatory Field

Ralph H. Young, Walter J. Deal

Source record

Source: Crossref

Published: Nov 1, 1970

DOI: 10.1063/1.1665129

Open original source ↗

Source abstract

The behavior of a quantum-mechanical system with a slowly modulated oscillatory Hamiltonian is characterized by an adiabatic theorem similar to that for a system with a slowly changing ``static'' Hamiltonian. Quasiperiodic states—solutions of the instantaneous Schrödinger equation with an oscillatory Hamiltonian—play the same role as eigenfunctions of the instantaneous Hamiltonian do in an adiabatic theorem for a nearly static Hamiltonian. As an example, the theorem is used to establish the correct wavefunction to be used in computing the refractive index of atomic hydrogen.

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.

Adiabatic Response to an Oscillatory Field — Mathematical Frontier Network