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Journal Articles

Liouville integrability may not be what you think

Open Access
F. Leyvraz
Journal: American Journal of Physics
Am. J. Phys. 93, 320–327 (2025)
https://doi.org/10.1119/5.0237159
Published: April 2025
View articletitled, Liouville integrability may not be what you think
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Journal Articles

New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides

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F. Calogero, R. Conte, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 102704 (2020)
https://doi.org/10.1063/5.0011257
Published: October 2020
View articletitled, New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
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Journal Articles

Qualitative properties of systems of two complex homogeneous ODE’s: A connection to polygonal billiards

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F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 092705 (2020)
https://doi.org/10.1063/5.0011537
Published: September 2020
View articletitled, Qualitative properties of systems of two complex homogeneous ODE’s: A connection to polygonal billiards
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Journal Articles

Examples of Hamiltonians isochronous in configuration space only and their quantization

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F. Calogero, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 062701 (2018)
https://doi.org/10.1063/1.5010590
Published: June 2018
View articletitled, Examples of Hamiltonians isochronous in configuration space only and their quantization
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Journal Articles

Erratum: “An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families” [J. Math. Phys. 58, 072902 (2017)]

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F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 019903 (2018)
https://doi.org/10.1063/1.5011759
Published: January 2018
View articletitled, Erratum: “An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families” [J. Math. Phys. 58, 072902 (2017)]
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Journal Articles

An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families

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F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 58, 072902 (2017)
https://doi.org/10.1063/1.4996581
Published: July 2017
View articletitled, An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families
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Journal Articles

Spectral statistics of the acoustic stadium

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R. A. Méndez-Sánchez, G. Báez, F. Leyvraz, T. H. Seligman
Journal: AIP Conference Proceedings
AIP Conf. Proc. 1579, 67–72 (2014)
https://doi.org/10.1063/1.4862420
Published: January 2014
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Journal Articles

A finite element algorithm for high-lying eigenvalues with Neumann and Dirichlet boundary conditions

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G. Báez, R. A. Méndez-Sánchez, F. Leyvraz, T. H. Seligman
Journal: AIP Conference Proceedings
AIP Conf. Proc. 1579, 73–78 (2014)
https://doi.org/10.1063/1.4862421
Published: January 2014
View articletitled, A finite element algorithm for high-lying eigenvalues with Neumann and Dirichlet boundary conditions
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Journal Articles

New solvable discrete-time many-body problem featuring several arbitrary parameters. II

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F. Calogero, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 54, 102702 (2013)
https://doi.org/10.1063/1.4822419
Published: October 2013
View articletitled, New solvable discrete-time many-body problem featuring several arbitrary parameters. II
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Journal Articles

New solvable discrete-time many-body problem featuring several arbitrary parameters

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F. Calogero, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 53, 082702 (2012)
https://doi.org/10.1063/1.4744964
Published: August 2012
View articletitled, New solvable discrete-time many-body problem featuring several arbitrary parameters
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Journal Articles

Isochronous extension of the Hamiltonian describing free motion in the Poincaré half-plane: Classical and quantum treatments

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F. A. Calogero, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 092903 (2007)
https://doi.org/10.1063/1.2779766
Published: September 2007
View articletitled, Isochronous extension of the Hamiltonian describing free motion in the Poincaré half-plane: Classical and quantum treatments
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Journal Articles

Equilibrium statistical mechanics for single waves and wave spectra in Langmuir wave-particle interaction

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M.-C. Firpo, F. Leyvraz, G. Attuel
Journal: Physics of Plasmas
Phys. Plasmas 13, 122302 (2006)
https://doi.org/10.1063/1.2397039
Published: December 2006
View articletitled, Equilibrium statistical mechanics for single waves and wave spectra in Langmuir wave-particle interaction
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Journal Articles

Isochronous and partially isochronous Hamiltonian systems are not rare

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F. Calogero, F. Leyvraz
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 042901 (2006)
https://doi.org/10.1063/1.2188211
Published: April 2006
View articletitled, Isochronous and partially isochronous Hamiltonian systems are not rare
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Journal Articles

Spectral properties of classically chaotic systems

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F. Leyvraz
Journal: AIP Conference Proceedings
AIP Conf. Proc. 464, 253–280 (1999)
https://doi.org/10.1063/1.58231
Published: March 1999
View articletitled, Spectral properties of classically chaotic systems
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Journal Articles

Accidental degeneracy and hidden symmetry: Rectangular wells with commensurate sides

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R. Lemus, A. Frank, M. V. Andrés, F. Leyvraz
Journal: American Journal of Physics
Am. J. Phys. 66, 629–631 (1998)
https://doi.org/10.1119/1.18917
Published: July 1998
View articletitled, Accidental degeneracy and hidden symmetry: Rectangular wells with commensurate sides
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Journal Articles

Accidental degeneracy in a simple quantum system: A new symmetry group for a particle in an impenetrable square-well potential

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F. Leyvraz, A. Frank, R. Lemus, M. V. Andrés
Journal: American Journal of Physics
Am. J. Phys. 65, 1087–1094 (1997)
https://doi.org/10.1119/1.18734
Published: November 1997
View articletitled, Accidental degeneracy in a simple quantum system: A new symmetry group for a particle in an impenetrable square-well potential
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Journal Articles

A new decomposition of canonical transformations and its application to their unitary representation

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F. Leyvraz, T. H. Seligman
Journal: AIP Conference Proceedings
AIP Conf. Proc. 266, 120–130 (1992)
https://doi.org/10.1063/1.42849
Published: October 1992
View articletitled, A new decomposition of canonical transformations and its application to their unitary representation
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Journal Articles

Sequences of point transformations and linear canonical transformations in classical and quantum mechanics

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F. Leyvraz, T. H. Seligman
Journal: Journal of Mathematical Physics
J. Math. Phys. 30, 2512–2515 (1989)
https://doi.org/10.1063/1.528531
Published: November 1989
View articletitled, Sequences of point transformations and linear canonical transformations in classical and quantum mechanics
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