Carl M. Bender

Washington University in St. Louis — United States

Physics and Astronomy · Physical Sciences

63h-index33.2kcitations368works12.32yr avg
OpenAlex↗ORCID↗Google Scholar↗Lab page↗

Accepting Students?

No reports yet. Know if this professor is taking students?

Research Topics

Quantum Mechanics and Non-Hermitian Physics(155), Quantum chaos and dynamical systems(120), Black Holes and Theoretical Physics(39), Cold Atom Physics and Bose-Einstein Condensates(35), Quantum Mechanics and Applications(33)

Publications368 total

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric quantum mechanics
Reviews of Modern Physics·2024· 47 cited
Complex phases in quantum mechanics
Europhysics Letters (EPL)·2024Open Access
Complex phases in quantum mechanics
arXiv (Cornell University)·2024Open Access
New Classes of Solutions for Euclidean Scalar Field Theories
Universe·2024· 2 citedOpen Access
PT-symmetric quantum mechanics
arXiv (Cornell University)·2023· 82 citedOpen Access
Dyson-Schwinger equations in zero dimensions and polynomial approximations
Physical review. D/Physical review. D.·2023· 13 cited
Dyson-Schwinger equations in zero dimensions and polynomial approximations
arXiv (Cornell University)·2023Open Access
<i>PT</i> SYMMETRY
WORLD SCIENTIFIC (EUROPE) eBooks·2023· 1 cited
Experimentally Realizable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math> Phase Transitions in Reflectionless Quantum Scattering
Physical Review Letters·2023· 14 cited
New classes of solutions for Euclidean scalar field theories
arXiv (Cornell University)·2023Open Access
Underdetermined Dyson-Schwinger Equations
Physical Review Letters·2023· 19 cited
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math>-symmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>−</mml:mo><mml:mi>g</mml:mi><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>theory
Physical review. D/Physical review. D.·2022· 31 citedOpen Access
Underdetermined Dyson-Schwinger equations
arXiv (Cornell University)·2022· 1 citedOpen Access
$\mathcal{P}\mathcal{T}$-symmetric $-gφ^4$ theory
arXiv (Cornell University)·2022· 1 citedOpen Access
Experimentally-realizable $\mathcal{PT}$ phase transitions in reflectionless quantum scattering
arXiv (Cornell University)·2022Open Access
Addendum: Painlevé transcendents and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>PT</mml:mi> </mml:math> -symmetric Hamiltonians (2015 <i>J. Phys. A: Math. Theor.</i> <b>48</b> 475202)
Journal of Physics A Mathematical and Theoretical·2022
Calculation of Green’s Functions in 𝒫𝒯-Symmetric Quantum Field Theory
WORLD SCIENTIFIC eBooks·2021
Towards perturbative renormalization of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>i</mml:mi><mml:mi>ϕ</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>ϵ</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>quantum field theory
Physical review. D/Physical review. D.·2021· 18 citedOpen Access
PT -symmetric classical mechanics
Journal of Physics Conference Series·2021· 1 citedOpen Access
PT symmetry and renormalisation in quantum field theory
Journal of Physics Conference Series·2021Open Access
page 1 of 19Next →

Frequent Co-authors

Dorje C. Brody(8), H. F. Jones(8), Kimball A. Milton(7), Steven A. Orszag(5), Stefan Boettcher(4), Tai Tsun Wu(4), Bo Peng(3), Şahin Kaya Özdemir(3), Lan Yang(3), Peter N. Meisinger(3), Philip D. Mannheim(3), Stephen S. Pinsky(3), L. M. Simmons(3), Faraz Monifi(2), Mariagiovanna Gianfreda(2), Franco Nori(2), Bernhard K. Meister(2), T. Banks(2), Van M. Savage(2), Moshe Moshe(2)