THE GEOMETRICAL PROPERTIES OF BERRY’S PHASE-Reference-Cited by-同舟云学术

THE GEOMETRICAL PROPERTIES OF BERRY’S PHASE

Published:1989-04-10 Issue:06 Volume:04 Page:1453-1465
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

GILER S.¹,KOSIŃSKI P.¹,SZYMANOWSKI L.²

Affiliation:

1. Institute of Physics, Łódź University, Nowotki 149/153, 90–236 Łódź, Poland

2. Institute for Nuclear Studies, Hoża 69,00–681 Warsaw, Poland

Abstract

Using the spectral decomposition of the Hamiltonian, we clarify the relationship of Berry’s effect with the parallel transport in the parameter space of this Hamiltonian. We derive the necessary and sufficient conditions under which this parallel transport is described by a natural, Riemannian connection. The considerations are illustrated by several examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X89000613

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