Awesome math.SP

Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points (2026)

Ramon Moya

1.78

Quantum graph resonances by cut-off technique (2026)

Pavel Exner et al.

1.61

Perturbation Theory and the Quantum Rabi-model (2026)

Marcello Malagutti et al.

1.61

Spectral Transitions and Singular Continuous Spectrum in A New Family of Quasi-periodic Quantum Walks (2026)

Xinyu Yang et al.

1.61

Arithmetic spectral transition for the unitary almost Mathieu operator (2025)

Fan Yang

1.56

Quantum Systems with jump-discontinuous mass. I (2025)

Fabio Deelan Cunden et al.

1.17

Characterizing High Schmidt Number Witnesses in Arbitrary Dimensions System (2025)

Liang Xiong et al.

1.11

Resonant tunneling effect for quantum walks on directed graphs (2025)

Kenta Higuchi

1.11

Nodal portraits of quantum billiards: Domains, lines, and statistics (2017)

Sudhir R. Jain and Rhine Samajdar

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Quantum graphs with vertices of a preferred orientation (2017)

Pavel Exner and Milos Tater

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Quantum walks with an anisotropic coin II: scattering theory (2018)

S. Richard et al.

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Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness (2018)

David Krejcirik

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Entanglement entropy and Berezin-Toeplitz operators (2018)

L. Charles and B. Estienne

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A family of quantum graph vertex couplings interpolating between different symmetries (2018)

Pavel Exner et al.

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The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics (2018)

David Krejcirik et al.

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A Solvable Deformation of Quantum Mechanics (2018)

Alba Grassi and Marcos Mari\~no

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A Gelfand-Levitan trace formula for generic quantum graphs (2019)

Pedro Freitas and Jiri Lipovsky

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Manifestation of the topological index formula in quantum waves and geophysical waves (2019)

Fr\'ed\'eric Faure

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Resonances and PT symmetry in quantum curves (2019)

Yoan Emery et al.

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Integrating Gauge Fields in the ζ-formulation of Feynman's path integral (2019)

Tobias Hartung et al.

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3D Schr\"odinger equation: scattering operator, scattering amplitude and ergodic property (2019)

Lev Sakhnovich

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Semiclassical behaviour of quantum eigenstates (2019)

Gabriel Rivi\`ere (LMJL)

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Spectral asymptotics of the Laplacian on Platonic solids graphs (2019)

Pavel Exner and Jiri Lipovsky

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Anderson localization for electric quantum walks and skew-shift CMV matrices (2019)

C. Cedzich and A. H. Werner

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Singular continuous Cantor spectrum for magnetic quantum walks (2019)

C. Cedzich and J. Fillman and T. Geib and A. H. Werner

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Eigenvalues of two-state quantum walks induced by the Hadamard walk (2019)

Shimpei Endo et al.

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Perfect quantum state transfer on diamond fractal graphs (2019)

Maxim Derevyagin et al.

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Two-parameter localization and related phase transition for a Schr\"{o}dinger operator in balls and spherical shells (2019)

Chen Jia et al.

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An operational construction of the sum of two non-commuting observables in quantum theory and related constructions (2019)

Nicol\`o Drago et al.

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Effective quantum dynamics on the M\"obius strip (2019)

Tom\'a\v{s} Kalvoda et al.

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Degenerate band edges in periodic quantum graphs (2020)

Gregory Berkolaiko et al.

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Space-Time Collocation Method: Loop Quantum Hamiltonian Constraints (2020)

Alec Yonika et al.

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Topologically induced spectral behavior: the example of quantum graphs (2020)

Pavel Exner

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Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs (2020)

Gamal Mograby et al.

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Spectral properties of soft quantum waveguides (2020)

Pavel Exner

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Soft quantum waveguides with an explicit cut-locus (2020)

Sylwia Kondej et al.

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Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. I. Ground state (2020)

A.V. Turbiner et al.

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Spectral properties of spiral-shaped quantum waveguides (2020)

Pavel Exner and Milos Tater

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Optimization of the lowest eigenvalue of a soft quantum ring (2020)

Pavel Exner and Vladimir Lotoreichik

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Quantum particle across Grushin singularity (2020)

Matteo Gallone et al.

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Anharmonic oscillator: a solution (2020)

Alexander V Turbiner et al.

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Some properties of the potential-to-ground state map in quantum mechanics (2020)

Louis Garrigue

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On the two-dimensional quantum confined Stark effect in strong electric fields (2020)

Horia Cornean et al.

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Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling (2020)

Marzieh Baradaran et al.

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Spectral properties of relativistic quantum waveguides (2021)

William Borrelli et al.

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The Energy Eigenvalue for the Singular Wave Function of the Three Dimensional Dirac Delta Schrodinger Potential via Distributionally Generalized Quantum Mechanics (2021)

Michael Maroun

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Two-Particle Bound States at Interfaces and Corners (2021)

Barbara Roos et al.

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Kagome network with vertex coupling of a preferred orientation (2021)

Marzieh Baradaran and Pavel Exner

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Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity (2021)

Kenta Higuchi et al.

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Quantum graphs: self-adjoint, and yet exhibiting a nontrivial PT-symmetry (2021)

Pavel Exner et al.

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Soft quantum waveguides in three dimensions (2021)

Pavel Exner

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Strong Cospectrality and Twin Vertices in Weighted Graphs (2021)

Hermie Monterde

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Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions (2021)

Tim M\"obus and Cambyse Rouz\'e

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Almost Everything About the Unitary Almost Mathieu Operator (2021)

Christopher Cedzich et al.

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Magnetic ring chains with vertex coupling of a preferred orientation (2022)

Marzieh Baradaran et al.

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Quantum state transfer between twins in weighted graphs (2022)

Stephen Kirkland et al.

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Delocalized spectra of Landau operators on helical surfaces (2022)

Yosuke Kubota et al.

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Localization for magnetic quantum walks (2022)

Fan Yang

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Self-adjoint extension schemes and modern applications to quantum Hamiltonians (2022)

Matteo Gallone and Alessandro Michelangeli

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Bound states in soft quantum layers (2022)

David Krejcirik and Jan Kriz

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Awesome math.SP

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Awesome math.SP

Key papers