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DC Field | Value | Language |
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dc.contributor.author | Brody, DC | - |
dc.date.accessioned | 2015-01-30T11:47:05Z | - |
dc.date.available | 2014-01-24 | - |
dc.date.available | 2015-01-30T11:47:05Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 47:3, 2014 | en_US |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | http://iopscience.iop.org/1751-8121/47/3/035305/ | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/10028 | - |
dc.description.abstract | The Hermiticity condition in quantum mechanics required for the characterization of (a) physical observables and (b) generators of unitary motions can be relaxed into a wider class of operators whose eigenvalues are real and whose eigenstates are complete. In this case, the orthogonality of eigenstates is replaced by the notion of biorthogonality that defines the relation between the Hilbert space of states and its dual space. The resulting quantum theory, which might appropriately be called 'biorthogonal quantum mechanics', is developed here in some detail in the case for which the Hilbert-space dimensionality is finite. Specifically, characterizations of probability assignment rules, observable properties, pure and mixed states, spin particles, measurements, combined systems and entanglements, perturbations, and dynamical aspects of the theory are developed. The paper concludes with a brief discussion on infinite-dimensional systems. © 2014 IOP Publishing Ltd. | en_US |
dc.language | eng | - |
dc.language.iso | en | en_US |
dc.subject | biorthogonal basis | en_US |
dc.subject | non-Hermitian Hamiltonian | en_US |
dc.subject | PT symmetry | en_US |
dc.title | Biorthogonal quantum mechanics | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/1751-8113/47/3/035305 | - |
dc.relation.isPartOf | Journal of Physics A: Mathematical and Theoretical | - |
dc.relation.isPartOf | Journal of Physics A: Mathematical and Theoretical | - |
pubs.issue | 3 | - |
pubs.issue | 3 | - |
pubs.volume | 47 | - |
pubs.volume | 47 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics/Mathematical Sciences | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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