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Keyword

metric operator

Description: An operator defining an inner product in non-Hermitian quantum mechanics, used to formulate a consistent physical norm and observables.
OpenAlex ID: keywords/metric-operator
Pseudo-hermitian Representation of Quantum Mechanics
2010 · ALI MOSTAFAZADEH · International Journal of Geometric Methods in Modern Physics · 924
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Quasi-Hermitian operators in quantum mechanics and the variational principle
1992 · F.G. Scholtz, H.B. Geyer, et al. · Annals of Physics · 675
Non‐Selfadjoint Operators in Quantum Physics
2015 · Bagarello, Fabio, Gazeau, Jean Pierre, et al. · Wiley eBooks · 172
Solutions of PT -symmetric tight-binding chain and its equivalent Hermitian counterpart
2009 · L. Jin, Z. Song · Physical Review A · 156
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General Relativity and the Divergence Problem in Quantum Field Theory
1957 · S. Deser · Reviews of Modern Physics · 135
Hamiltonian for the Zeros of the Riemann Zeta Function
2017 · Carl M. Bender, Dorje C. Brody, et al. · Physical Review Letters · 120
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On the metric operator for the imaginary cubic oscillator
2012 · P. Siegl, D. Krejčiřík · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 119
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Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
2007 · Ali Mostafazadeh · Physics Letters B · 116
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Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential
2006 · Ali Mostafazadeh · Journal of Physics A Mathematical and General · 101
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A system of types and operators for handling vague spatial objects
2007 · Arta Dilo, Rolf A. de By, et al. · International Journal of Geographical Information Systems · 92
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Closed formula for the metric in the Hilbert space of a -symmetric model
2006 · D Krejčiřík, H Bíla, et al. · Journal of Physics A Mathematical and General · 92
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Choice of a metric for the non-Hermitian oscillator
2006 · D P Musumbu, H B Geyer, et al. · Journal of Physics A Mathematical and Theoretical · 87
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Conformal Group in Space-Time
1966 · H. A. Kastrup · Physical Review · 85
Towards the QFT on curved spacetime limit of QGR: I. A general scheme
2006 · H Sahlmann, T Thiemann · Classical and Quantum Gravity · 84
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Time-Reversal Symmetry in Non-Hermitian Systems
2012 · M. Sato, K. Hasebe, et al. · Progress of Theoretical Physics · 81
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Quasi-Hermiticity in infinite-dimensional Hilbert spaces
2004 · R. Kretschmer, L. Szymanowski · Physics Letters A · 78
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Consistency of PT-symmetric quantum mechanics
2016 · Dorje C Brody · Journal of Physics A Mathematical and Theoretical · 76
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Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme
2002 · H. Sahlmann, T. Thiemann · 76
A spin chain model with non-Hermitian interaction: the Ising quantum spin chain in an imaginary field
2009 · Olalla A Castro-Alvaredo, Andreas Fring · Journal of Physics A Mathematical and Theoretical · 70
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Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
2008 · H. F. Jones · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 66
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Scattering theory with localized non-Hermiticities
2008 · Miloslav Znojil · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 65
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Implementing Metric Operators of a Spatial Query Language for 3D Building Models: Octree and B-Rep Approaches
2008 · André Borrmann, Stefanie Schraufstetter, et al. · Journal of Computing in Civil Engineering · 55
Quantum physics with non-Hermitian operators
2012 · Carl Bender, Andreas Fring, et al. · Journal of Physics A Mathematical and Theoretical · 52
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Gegenbauer-solvable quantum chain model
2010 · Miloslav Znojil · Physical Review A · 51
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Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian
2004 · Yacob Ben-Aryeh, Ady Mann, et al. · Journal of Physics A Mathematical and General · 46
Works count: 319
Citation count: 5,986
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