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Extending the quantal adiabatic theorem: Geometry of noncyclic motion
Physical and Theoretical Chemistry Laboratory, Oxford, UK.
Sub-Faculty of Philosophy, Oxford University, UK.
1998 (English)In: American Journal of Physics, ISSN 0002-9505, E-ISSN 0002-9595, Vol. 66, no 5, 431-438 p.Article in journal (Refereed) Published
Abstract [en]

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov–Bohm situation is worked out in detail. A spin-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.

Place, publisher, year, edition, pages
1998. Vol. 66, no 5, 431-438 p.
Keyword [en]
Berry phase, noncyclic quantum evolution, conical intersections, Aharonov-Bohm effect, neutron optics
National Category
Physical Sciences
Research subject
Physics; Physics with specialization in Quantum Chemistry
URN: urn:nbn:se:uu:diva-148902DOI: 10.1119/1.18799ISI: 000073288700012OAI: oai:DiVA.org:uu-148902DiVA: diva2:403384
Available from: 2011-03-13 Created: 2011-03-13 Last updated: 2011-10-05

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