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real spectrum
Description:
A real spectrum is the set of real-valued points associated with an ordered ring or field in real algebraic geometry.
Primary topic:
Quantum Mechanics and Non-Hermitian Physics (46%)
Related topics:
Quantum Mechanics and Non-Hermitian Physics (46%),
Spectral Theory in Mathematical Physics (11%),
Algebraic Geometry and Number Theory (8%)
OpenAlex ID:
keywords/real-spectrum
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry
1998
·
Carl M. Bender
, Stefan Boettcher
·
Physical Review Letters
·
6,660
PDF
Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
2002
·
Ali Mostafazadeh
·
Journal of Mathematical Physics
·
1,674
PDF
Making Sense of Non-Hermitian Hamiltonians
2007
·
Bender, C M
·
CERN Document Server (European Organization for Nuclear Research)
·
1,518
𝓟𝓣-symmetric quantum mechanics
1999
·
Carl M. Bender
, Stefan Boettcher
, et al.
·
Journal of Mathematical Physics
·
1,371
PDF
Real algebraic geometry
2014
·
Bochnak, Jacek 1943-
, Coste, Michel 1950-
, et al.
·
Choice Reviews Online
·
1,260
Nonlinear waves in PT -symmetric systems
2016
·
Vladimir V. Konotop
, Jianke Yang
, et al.
·
Reviews of Modern Physics
·
1,166
PDF
Visualization of Branch Points in PT -Symmetric Waveguides
2008
·
Shachar Klaiman
, Uwe Günther
, et al.
·
Physical Review Letters
·
944
PDF
Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
2002
·
Ali Mostafazadeh
·
Journal of Mathematical Physics
·
831
PDF
Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
2002
·
Ali Mostafazadeh
·
Journal of Mathematical Physics
·
781
PDF
Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
2004
·
Ali Mostafazadeh
, Ahmet Batal
·
Journal of Physics A Mathematical and General
·
304
PDF
Schrödinger operators with complex potential but real spectrum
1998
·
Francesco Cannata
, Georg Junker
, et al.
·
Physics Letters A
·
292
PDF
Generalized PT symmetry and real spectra
2002
·
Carl M Bender
, M V Berry
, et al.
·
Journal of Physics A Mathematical and General
·
256
PDF
Extension of PT -symmetric quantum mechanics to quantum field theory with cubic interaction
2004
·
Carl M. Bender
, Dorje C. Brody
, et al.
·
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
·
248
Quasi-exactly solvable quartic potential
1998
·
Carl M Bender
, Stefan Boettcher
·
Journal of Physics A Mathematical and General
·
210
PDF
$\mathcal{PT}$ -Symmetric Periodic Optical Potentials
2011
·
K. G. Makris
, R. El-Ganainy
, et al.
·
International Journal of Theoretical Physics
·
178
Constructible Sets in Real Geometry
1996
·
Carlos Andradas
, Ludwig Bröcker
, et al.
·
Springer eBooks
·
167
A family of complex potentials with real spectrum
1999
·
F M Fernández
, R Guardiola
, et al.
·
Journal of Physics A Mathematical and General
·
145
PDF
A Krein Space Approach to PT-symmetry
2004
·
Heinz Langer
, Christiane Tretter
·
Czechoslovak Journal of Physics
·
142
Dual PT -symmetric quantum field theories
2005
·
Carl M. Bender
, H.F. Jones
, et al.
·
Physics Letters B
·
138
PDF
A newPT-symmetric complex Hamiltonian with a real spectrum
1999
·
B Bagchi
, R Roychoudhury
·
Journal of Physics A Mathematical and General
·
136
PDF
Supersymmetry-generated complex optical potentials with real spectra
2013
·
Mohammad-Ali Miri
, Matthias Heinrich
, et al.
·
Physical Review A
·
122
PDF
Exact solution for Morse oscillator in -symmetric quantum mechanics
1999
·
Miloslav Znojil
·
Physics Letters A
·
120
PDF
Bypassing the bandwidth theorem with PT symmetry
2012
·
Hamidreza Ramezani
, J. Schindler
, et al.
·
Physical Review A
·
117
PDF
Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
2007
·
Ali Mostafazadeh
·
Physics Letters B
·
116
PDF
Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials
2001
·
Zafar Ahmed
·
Physics Letters A
·
112
PDF
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Works count:
813
Citation count:
25,860
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