Vol. 175, No. 1, 1996

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Commutators and invariant domains for Schrödinger propagators

Min-Jei Huang

Vol. 175 (1996), No. 1, 83–91
Abstract

We present an operator-theoretic approach to the problem of invariant domains for the Schrödinger evolution equation. The results are applied to the Hamiltonian operators with time-dependent potentials and electric fields.

Mathematical Subject Classification 2000
Primary: 47F05
Secondary: 35J10, 47N50, 81Q05
Milestones
Received: 20 December 1993
Revised: 19 April 1994
Published: 1 September 1996
Authors
Min-Jei Huang