| Quantum Brachistochrone problem and the geometry of the state space in pseudo-Hermitian quantum mechanics. | |
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MedLine Citation:
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PMID: 17930566 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Hamiltonian operator for a unitary quantum system provided that one makes an appropriate choice for the defining the inner product of physical Hilbert state. We study the consequences of such a choice for the representation of states in terms of projection operators and the geometry of the state space. This allows for a careful treatment of the quantum Brachistochrone problem and shows that it is indeed impossible to achieve faster unitary evolutions using PT-symmetric or other non-Hermitian Hamiltonians than those given by Hermitian Hamiltonians. |
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Authors:
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Ali Mostafazadeh |
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Publication Detail:
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Type: Journal Article Date: 2007-09-26 |
Journal Detail:
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Title: Physical review letters Volume: 99 ISSN: 0031-9007 ISO Abbreviation: Phys. Rev. Lett. Publication Date: 2007 Sep |
Date Detail:
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Created Date: 2007-10-12 Completed Date: 2008-01-29 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401141 Medline TA: Phys Rev Lett Country: United States |
Other Details:
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Languages: eng Pagination: 130502 Citation Subset: - |
Affiliation:
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Department of Mathematics, Koç University, Sariyer 34450, Istanbul, Turkey. amostafazadeh@ku.edu.tr |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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