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Journal Articles

An accurate and efficient trigonometric discrete variable representation on a semi-infinite interval: Application to the hydrogen atom

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Haimei Shi, Zhigang Sun
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 072101 (2025)
https://doi.org/10.1063/5.0270660
Published: July 2025
View article titled, An accurate and efficient trigonometric discrete variable representation on a semi-infinite interval: Application to the hydrogen atom
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Journal Articles

Laplace conjecture about the formation of the solar system

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Mayer Humi
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 063101 (2025)
https://doi.org/10.1063/5.0219272
Published: June 2025
View article titled, Laplace conjecture about the formation of the solar system
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Structure-preserving methods for Marcus stochastic Hamiltonian systems with additive Lévy noise

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Qingyi Zhan, Jinqiao Duan, Xiaofan Li
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 113502 (2024)
https://doi.org/10.1063/5.0213902
Published: November 2024
View article titled, Structure-preserving methods for Marcus stochastic Hamiltonian systems with additive Lévy noise
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Central limit theorem of overlap for the mean field Ghatak–Sherrington model

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Yueqi Sheng, Qiang Wu
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 103302 (2024)
https://doi.org/10.1063/5.0213436
Published: October 2024
View article titled, Central limit theorem of overlap for the mean field Ghatak–Sherrington model
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On the self-overlap in vector spin glasses

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Hong-Bin Chen
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 031901 (2024)
https://doi.org/10.1063/5.0196632
Published: March 2024
View article titled, On the self-overlap in vector spin glasses
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Journal Articles

Deformed Morse-like potential

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I. A. Assi, A. D. Alhaidari, H. Bahlouli
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 093501 (2021)
https://doi.org/10.1063/5.0046346
Published: September 2021
View article titled, Deformed Morse-like potential
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Includes: Supplementary data
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Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials

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Sergio Andraus, Kilian Hermann, Michael Voit
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 083303 (2021)
https://doi.org/10.1063/5.0028706
Published: August 2021
View article titled, Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials
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Constructive expansion for vector field theories I. Quartic models in low dimensions

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Harold Erbin, Vincent Lahoche, Mohamed Tamaazousti
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 043501 (2021)
https://doi.org/10.1063/5.0038599
Published: April 2021
View article titled, Constructive expansion for vector field theories I. Quartic models in low dimensions
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Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials

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Choon-Lin Ho, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 013509 (2021)
https://doi.org/10.1063/5.0006440
Published: January 2021
View article titled, Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
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Long-time asymptotics of non-degenerate non-linear diffusion equations

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Ivan C. Christov, Akif Ibraguimov, Rahnuma Islam
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 081505 (2020)
https://doi.org/10.1063/5.0005339
Published: August 2020
View article titled, Long-time asymptotics of non-degenerate non-linear diffusion equations
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Journal Articles

A generating integral for the matrix elements of the Coulomb Green’s function with the Coulomb wave functions

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K. Dzikowski, O. D. Skoromnik
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 032103 (2020)
https://doi.org/10.1063/1.5119349
Published: March 2020
View article titled, A generating integral for the matrix elements of the Coulomb Green’s function with the Coulomb wave functions
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Includes: Supplementary data
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Symmetric, explicit numerical integrator for molecular dynamics equations of motion with a generalized friction

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Ikuo Fukuda
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 042903 (2019)
https://doi.org/10.1063/1.5012871
Published: April 2019
View article titled, Symmetric, explicit numerical integrator for molecular dynamics equations of motion with a generalized friction
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Includes: Supplementary data
Journal Articles

Neumann-Weber integral transform for complex indices

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L. R. Buschle, F. T. Kurz, H.-P. Schlemmer, C. H. Ziener
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 043502 (2019)
https://doi.org/10.1063/1.5049525
Published: April 2019
View article titled, Neumann-Weber integral transform for complex indices
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Journal Articles

The Gaussian integration method of the Schrödinger equation and quantum 1-D theory of low gain free electron laser

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G. Dattoli, H. Fares
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 042101 (2019)
https://doi.org/10.1063/1.5040925
Published: April 2019
View article titled, The Gaussian integration method of the Schrödinger equation and quantum 1-D theory of low gain free electron laser
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Journal Articles

Perturbation approach to the Hill equation with a slowly varying parameter with application to the inflationary cosmology

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Vladimir A. Koutvitsky, Eugene M. Maslov
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 113504 (2018)
https://doi.org/10.1063/1.5052341
Published: November 2018
View article titled, Perturbation approach to the Hill equation with a slowly varying parameter with application to the inflationary cosmology
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Two-dimensional quantum scattering by non-isotropic interactions localized on a circle, applications to open billiards

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E. de Prunelé
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 102102 (2018)
https://doi.org/10.1063/1.5004638
Published: September 2018
View article titled, Two-dimensional quantum scattering by non-isotropic interactions localized on a circle, applications to open billiards
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Journal Articles

On exact discretization of cubic-quintic Duffing oscillator

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A. V. Tsiganov
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 072703 (2018)
https://doi.org/10.1063/1.5034381
Published: July 2018
View article titled, On exact discretization of cubic-quintic Duffing oscillator
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Anticoherent subspaces

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Rajesh Pereira, Connor Paul-Paddock
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 062107 (2017)
https://doi.org/10.1063/1.4986413
Published: June 2017
View article titled, Anticoherent subspaces
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Journal Articles

Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects

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Savannah Garmon, Gonzalo Ordonez
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 062101 (2017)
https://doi.org/10.1063/1.4983809
Published: June 2017
View article titled, Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
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Journal Articles

A fast summation method for oscillatory lattice sums

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Ryan Denlinger, Zydrunas Gimbutas, Leslie Greengard, Vladimir Rokhlin
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 023511 (2017)
https://doi.org/10.1063/1.4976499
Published: February 2017
View article titled, A fast summation method for oscillatory lattice sums
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