World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
51215
World Ranking
208
National Ranking
119

Physics

D-Index
78
Citations
54878
World Ranking
3121
National Ranking
1491

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2003 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1988 - Fellow of American Physical Society (APS) Citation For contributions to the development and understanding of analytical and numerical probes of quantum field theory, the largeorder behavior of perturbation theory, and for making advances in semiclassical, strong coupling, and lattice approximations
  • 1972 - Fellow of Alfred P. Sloan Foundation

Overview

Carl M. Bender is affiliated with Washington University in St. Louis in the United States. Their primary field of study is Physics and Astronomy, with a focus on subfields including Atomic and Molecular Physics, and Optics; Statistical and Nonlinear Physics; Nuclear and High Energy Physics; Astronomy and Astrophysics; and Spectroscopy.

The main topics covered by their research include Quantum Mechanics and Non-Hermitian Physics, Quantum chaos and dynamical systems, Black Holes and Theoretical Physics, Nonlinear Waves and Solitons, Quantum Mechanics and Applications, Cosmology and Gravitation Theories, and Noncommutative and Quantum Gravity Theories.

Carl M. Bender has a publication record that includes work presented primarily in the following venues:

  • arXiv (Cornell University)
  • Physical review. D/Physical review. D.
  • Journal of Physics Conference Series
  • Physical Review Letters
  • Journal of Physics A Mathematical and Theoretical

Their recent papers include:

  • "PT-symmetric quantum mechanics," 2023, arXiv (Cornell University)
  • "PT-symmetric quantum mechanics," 2024, Reviews of Modern Physics
  • "Underdetermined Dyson-Schwinger Equations," 2023, Physical Review Letters

Frequent co-authors in their work include:

  • Daniel Hook
  • Sarben Sarkar
  • S. P. Klevansky
  • Christos Karapoulitidis
  • Wen-Yuan Ai

Awards earned by Carl M. Bender consist of:

  • Fellow of John Simon Guggenheim Memorial Foundation, 2003
  • Fellow of American Physical Society (APS), 1988, with a citation for contributions to analytical and numerical probes of quantum field theory, including large-order perturbation theory, semiclassical, strong coupling, and lattice approximations
  • Fellow of Alfred P. Sloan Foundation, 1972

Best Publications

  • Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory

    Carl M Bender;Steven A Orszag

  • Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

    Carl M. Bender;Stefan Boettcher;Stefan Boettcher

  • Advanced mathematical methods for scientists and engineers

    Carl M. Bender;Steven A. Orszag

  • Making sense of non-Hermitian Hamiltonians

    Carl M Bender

  • Parity–time-symmetric whispering-gallery microcavities

    Bo Peng;Şahin Kaya Özdemir;Fuchuan Lei;Fuchuan Lei;Faraz Monifi

  • Complex extension of quantum mechanics

    Carl M. Bender;Dorje C. Brody;Hugh F. Jones

  • PT-symmetric quantum mechanics

    Carl M. Bender;Stefan Boettcher;Peter N. Meisinger

  • Loss-induced suppression and revival of lasing.

    B. Peng;Ş. K. Özdemir;S. Rotter;H. Yilmaz

  • Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order

    Carl M. Bender;Tai Tsun Wu

  • Introduction to PT-symmetric quantum theory

    Carl M. Bender

  • Must a Hamiltonian be Hermitian

    Carl M. Bender;Dorje C. Brody;Hugh F. Jones

  • Faster than Hermitian quantum mechanics.

    Carl M. Bender;Carl M. Bender;Dorje C. Brody;Hugh F. Jones;Bernhard K. Meister

  • Observation of PT phase transition in a simple mechanical system

    Carl M. Bender;Bjorn K. Berntson;David Parker;David Parker;E. Samuel

  • No-Ghost Theorem for the Fourth-Order Derivative Pais-Uhlenbeck Oscillator Model

    Carl M. Bender;Philip D. Mannheim

  • A new perturbative approach to nonlinear problems

    C. M. Bender;Kimball A. Milton;Stephen S. Pinsky;L. M. Simmons

  • Large order behavior of Perturbation theory

    Carl M. Bender;Tai Tsun Wu

  • Coupled Anharmonic Oscillators. II. Unequal-Mass Case

    Thomas Banks;Carl M. Bender;Tai Tsun Wu

  • Extension of PT -symmetric quantum mechanics to quantum field theory with cubic interaction

    Carl M. Bender;Dorje C. Brody;Hugh F. Jones

  • Quantum mechanical Carnot engine

    Carl M Bender;Dorje C Brody;Dorje C Brody;Bernhard K Meister

  • Quasi-exactly solvable quartic potential

    Carl M Bender;Stefan Boettcher

  • Complex extension of quantum mechanics

    Carl M. Bender

Frequent Co-Authors

Dorje C. Brody
Dorje C. Brody University of Surrey
Gerald V. Dunne
Gerald V. Dunne University of Connecticut
Darryl D. Holm
Darryl D. Holm Imperial College London
Van M. Savage
Van M. Savage University of California, Los Angeles
Michael V Berry
Michael V Berry University of Bristol
Avinash Khare
Avinash Khare Sikkim University
Andreas Fring
Andreas Fring City, University of London
Lan Yang
Lan Yang Washington University in St. Louis
David J. Weir
David J. Weir Helsinki Institute of Physics
Franco Nori
Franco Nori University of Michigan–Ann Arbor

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