Adiabaticity in the Hamiltonian functional integral
type: Item
instance of: scholarly article
title: Adiabaticity in the Hamiltonian functional integral
zbMATH Open document ID: 0783.58089
author: Hasan M. Haq
author: Michael Crescimanno
published in: Annals of Physics
publication date: 1993-05-25T00:00:00Z
review text: We describe an alternative view of the adiabatic theorem suggested by the Hamiltonian functional integral. The adiabatic limit is achieved by phase cancellations in the transitions between the states of the system and is not due to the measure of the functional integral having support only on the trivial path. We illustrate this using a general \(2 \times 2\) time- dependent Hamiltonian and also describe Berry's phase in this formalism.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 81S40
zbMATH DE Number: 178235
zbMATH Keywords: adiabatic theorem
zbMATH Keywords: Hamiltonian functional integral
zbMATH Keywords: Berry's phase
MaRDI profile type: Publication
full work available at URL: aphy.1993.1051
OpenAlex ID: W2053907482
DOI: 10.1006/APHY.1993.1051
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description: scientific article; zbMATH DE number 178235