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Journal Articles

The zeta function for the triangular potential

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M. G. Naber
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 123505 (2021)
https://doi.org/10.1063/5.0071099
Published: December 2021
View articletitled, The zeta function for the triangular potential
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On pointwise decay of waves

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W. Schlag
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 061509 (2021)
https://doi.org/10.1063/5.0042767
Published: June 2021
View articletitled, On pointwise decay of waves
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On the convergence of WKB approximations of the damped Mathieu equation

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Dwight Nwaigwe
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 062702 (2021)
https://doi.org/10.1063/1.5145267
Published: June 2021
View articletitled, On the convergence of WKB approximations of the damped Mathieu equation
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Semiclassical WKB problem for the non-self-adjoint Dirac operator with a decaying potential

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Nicholas Hatzizisis, Spyridon Kamvissis
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 033510 (2021)
https://doi.org/10.1063/5.0014817
Published: March 2021
View articletitled, Semiclassical WKB problem for the non-self-adjoint Dirac operator with a decaying potential
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Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential

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Setsuro Fujiié, Spyridon Kamvissis
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 011510 (2020)
https://doi.org/10.1063/1.5099581
Published: January 2020
View articletitled, Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential
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Maxwell duality and semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with external fields

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S. L. R. Vieira, K. Bakke
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 102104 (2019)
https://doi.org/10.1063/1.5113684
Published: October 2019
View articletitled, Maxwell duality and semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with external fields
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Non-adiabatic transitions in a tilted conical intersection

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Chieh-Lei Wong
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 042104 (2019)
https://doi.org/10.1063/1.5029806
Published: April 2019
View articletitled, Non-adiabatic transitions in a tilted conical intersection
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PT-symmetric eigenvalues for homogeneous potentials

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Alexandre Eremenko, Andrei Gabrielov
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 053503 (2018)
https://doi.org/10.1063/1.5016390
Published: May 2018
View articletitled, PT-symmetric eigenvalues for homogeneous potentials
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A position-dependent mass harmonic oscillator and deformed space

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Bruno G. da Costa, Ernesto P. Borges
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 042101 (2018)
https://doi.org/10.1063/1.5020225
Published: April 2018
View articletitled, A position-dependent mass harmonic oscillator and deformed space
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Erratum: “World-line instantons and the Schwinger effect as a Wentzel-Kramers-Brillouin exact path integral” [J. Math. Phys. 56, 022111 (2015)]

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James Gordon, Gordon W. Semenoff
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 019901 (2018)
https://doi.org/10.1063/1.5008756
Published: January 2018
View articletitled, Erratum: “World-line instantons and the Schwinger effect as a Wentzel-Kramers-Brillouin exact path integral” [J. Math. Phys. 56, 022111 (2015)]
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Journal Articles

Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator

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K. Hirota
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 102108 (2017)
https://doi.org/10.1063/1.4999668
Published: October 2017
View articletitled, Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator
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Journal Articles

The Wentzel–Kramers–Brillouin approximation method applied to the Wigner function

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J. Tosiek, R. Cordero, F. J. Turrubiates
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 062103 (2016)
https://doi.org/10.1063/1.4954071
Published: June 2016
View articletitled, The Wentzel–Kramers–Brillouin approximation method applied to the Wigner function
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Journal Articles

Analytic solutions of tunneling time through smooth barriers

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Zhi Xiao, Hai Huang
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 032102 (2016)
https://doi.org/10.1063/1.4943299
Published: March 2016
View articletitled, Analytic solutions of tunneling time through smooth barriers
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Effects of confinement for single-well potentials

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Oran Gannot
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 023510 (2016)
https://doi.org/10.1063/1.4940699
Published: February 2016
View articletitled, Effects of confinement for single-well potentials
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Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system

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Satoshi Masaki, Takayoshi Ogawa
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 121502 (2015)
https://doi.org/10.1063/1.4936164
Published: December 2015
View articletitled, Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system
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Journal Articles

Combinatorial approach to Mathieu and Lamé equations

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Wei He
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 072302 (2015)
https://doi.org/10.1063/1.4926954
Published: July 2015
View articletitled, Combinatorial approach to Mathieu and Lamé equations
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Spectral functions for regular Sturm-Liouville problems

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Guglielmo Fucci, Curtis Graham, Klaus Kirsten
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 043503 (2015)
https://doi.org/10.1063/1.4918616
Published: April 2015
View articletitled, Spectral functions for regular Sturm-Liouville problems
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Journal Articles

World-line instantons and the Schwinger effect as a Wentzel–Kramers–Brillouin exact path integral

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James Gordon, Gordon W. Semenoff
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 022111 (2015)
https://doi.org/10.1063/1.4908556
Published: February 2015
View articletitled, World-line instantons and the Schwinger effect as a Wentzel–Kramers–Brillouin exact path integral
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Journal Articles

The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem

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Yeongjoh Kim, Long Lee, Gregory Lyng
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 083516 (2014)
https://doi.org/10.1063/1.4892589
Published: August 2014
View articletitled, The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem
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Journal Articles

Scattering of trajectories at a separatrix under autoresonance

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Oleg Kiselev, Nikolai Tarkhanov
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 063502 (2014)
https://doi.org/10.1063/1.4875105
Published: June 2014
View articletitled, Scattering of trajectories at a separatrix under autoresonance
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