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Mathematics

D-Index
30
Citations
3026
World Ranking
3561
National Ranking
1376

Overview

Evans M. Harrell is affiliated with the Georgia Institute of Technology in the United States and specializes in mathematics, with a primary focus on mathematical physics. Their research integrates several interrelated subfields, including mathematical physics, geometry and topology, computational theory and mathematics, atomic and molecular physics and optics, and statistical and nonlinear physics.

The main topics covered in their work include:

  • Spectral Theory in Mathematical Physics
  • Graph theory and applications
  • Matrix Theory and Algorithms
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Quantum chaos and dynamical systems
  • Markov Chains and Monte Carlo Methods

Evans M. Harrell has contributed to the following research papers:

  • On topological bound states and secular equations for quantum-graph eigenvalues, 2024, Journal of Spectral Theory
  • The Heat Kernel on the Diagonal for a Compact Metric Graph, 2022, Annales Henri Poincaré
  • Gaps between consecutive eigenvalues for compact metric graphs, 2023, Journal of Mathematical Analysis and Applications
  • Optimizing the fundamental eigenvalue gap of quantum graphs, 2024, Journal of Physics A Mathematical and Theoretical
  • Optimizing the Fundamental Eigenvalue Gap of Quantum Graphs, 2024, arXiv (Cornell University)

Frequent co-authors collaborating with Evans M. Harrell include:

  • David Borthwick
  • Mohammed Ahrami
  • Zakaria El Allali
  • Anna Maltsev
  • Haozhe Yu

Their research is commonly published in venues such as:

  • arXiv (Cornell University)
  • Journal of Spectral Theory
  • Annales Henri Poincaré
  • Journal of Mathematical Analysis and Applications
  • Journal of Physics A Mathematical and Theoretical

Best Publications

  • A physical short-channel threshold voltage model for undoped symmetric double-gate MOSFETs

    Qiang Chen;E.M. Harrell;J.D. Meindl

  • Quantum mechanics of atoms and molecules

    Walter E. Thirring;Evans M. Harrell

  • The mathematical theory of resonances whose widths are exponentially small

    E. Harrell;B. Simon

  • On trace identities and universal eigenvalue estimates for some partial differential operators

    Evans M. Harrell;Joachim Stubbe

  • On the rate of asymptotic eigenvalue degeneracy

    Evans M. Harrell

  • Universal inequalities for the eigenvalues of Laplace and Schrodinger operators on submanifolds

    Ahmad El Soufi;Evans M. Harrell;Saïd Ilias

  • Double Wells

    Unknown

  • Singular perturbation potentials

    Evans M. Harrell

  • On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue

    Evans M. Harrell;Pawel Kröger;Kazuhiro Kurata

  • Bender-Wu Formula and the Stark Effect in Hydrogen

    L. Benassi;V. Grecchi;E. Harrell;B. Simon

  • Quantum mathematical physics : atoms, molecules and large systems

    Walter E. Thirring;Evans M. Harrell

  • Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry

    Evans M. Harrell;Patricia L. Michel

  • High-order perturbation theory of the imaginary part of the resonance eigenvalues of the Stark effect in hydrogen and of the anharmonic oscillator with negative anharmonicity

    Harris J. Silverstone;Evans Harrell;Christina Grot

  • Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators

    Evans M. Harrell

  • The band-structure of a one-dimensional, periodic system in a scaling limit

    Evans M Harrell

  • Some geometric bounds on eigenvalue gaps

    Evans M. Harrell

  • Optimal Eigenvalues for Some Laplacians and Schrödinger Operators Depending on Curvature

    Pavel Exner;Evans M. Harrell;Michael Loss

  • Perturbation theory for shape resonances and large barrier potentials

    Mark S. Ashbaugh;Evans M. Harrell

  • Double jeopardy in the nanoscale court [MOSFET modeling]

    Qiang Chen;K.A. Bowman;E.M. Harrell;J.D. Meindl

  • Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation

    E.B Davies;Evans M Harrell

  • 1/R expansion for H 2 + : Calculation of exponentially small terms and asymptotics

    Jiří Cížek;Robert J. Damburg;Sandro Graffi;Vincenzo Grecchi

  • Universal inequalities for the eigenvalues of Laplace and Schr"odinger operators on submanifolds,

    A. El Soufi;E.M. Harrell;S. Ilias

Frequent Co-Authors

Michael Loss
Michael Loss Georgia Institute of Technology
Pavel Exner
Pavel Exner Czech Technical University in Prague
Barry Simon
Barry Simon California Institute of Technology
James D. Meindl
James D. Meindl Georgia Institute of Technology
Josef Paldus
Josef Paldus University of Waterloo
Keith Bowman
Keith Bowman Qualcomm (United States)
Michael T. Lacey
Michael T. Lacey Georgia Institute of Technology
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Edward Davies
Edward Davies King's College London

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