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Journal Articles

Quantum vs classical birth and death processes; exactly solvable examples

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 022202 (2025)
https://doi.org/10.1063/5.0161779
Published: February 2025
View articletitled, Quantum vs classical birth and death processes; exactly solvable examples
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Journal Articles

Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (x − d)2] and its dual single well potential VS(x) = max[(x + d)2, (x − d)2]

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 022102 (2023)
https://doi.org/10.1063/5.0127371
Published: February 2023
View articletitled, Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (x − d)2] and its dual single well potential VS(x) = max[(x + d)2, (x − d)2]
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Journal Articles

Exactly solvable discrete time birth and death processes

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 063305 (2022)
https://doi.org/10.1063/5.0079228
Published: June 2022
View articletitled, Exactly solvable discrete time birth and death processes
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Journal Articles

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 articletitled, Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
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Journal Articles

Orthogonal polynomials from Hermitian matrices. II

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 013504 (2018)
https://doi.org/10.1063/1.5021462
Published: January 2018
View articletitled, Orthogonal polynomials from Hermitian matrices. II
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Journal Articles

Solvable discrete quantum mechanics: q-orthogonal polynomials with q = 1 and quantum dilogarithm

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 073502 (2015)
https://doi.org/10.1063/1.4926351
Published: July 2015
View articletitled, Solvable discrete quantum mechanics: q-orthogonal polynomials with q = 1 and quantum dilogarithm
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Journal Articles

Perturbations around the zeros of classical orthogonal polynomials

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 56, 042106 (2015)
https://doi.org/10.1063/1.4918707
Published: April 2015
View articletitled, Perturbations around the zeros of classical orthogonal polynomials
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Journal Articles

Extensions of a class of similarity solutions of Fokker-Planck equation with time-dependent coefficients and fixed/moving boundaries

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Choon-Lin Ho, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 113301 (2014)
https://doi.org/10.1063/1.4900920
Published: November 2014
View articletitled, Extensions of a class of similarity solutions of Fokker-Planck equation with time-dependent coefficients and fixed/moving boundaries
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Journal Articles

Exactly solvable potentials with finitely many discrete eigenvalues of arbitrary choice

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 062101 (2014)
https://doi.org/10.1063/1.4880200
Published: June 2014
View articletitled, Exactly solvable potentials with finitely many discrete eigenvalues of arbitrary choice
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Journal Articles

Non-polynomial extensions of solvable potentials à la Abraham-Moses

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 54, 102106 (2013)
https://doi.org/10.1063/1.4826475
Published: October 2013
View articletitled, Non-polynomial extensions of solvable potentials à la Abraham-Moses
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Journal Articles

Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 51, 083502 (2010)
https://doi.org/10.1063/1.3458866
Published: August 2010
View articletitled, Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism
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Journal Articles

Exactly solvable birth and death processes

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 50, 103509 (2009)
https://doi.org/10.1063/1.3215983
Published: October 2009
View articletitled, Exactly solvable birth and death processes
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Journal Articles

Orthogonal polynomials from Hermitian matrices

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 49, 053503 (2008)
https://doi.org/10.1063/1.2898695
Published: May 2008
View articletitled, Orthogonal polynomials from Hermitian matrices
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Journal Articles

Multiparticle quasiexactly solvable difference equations

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 122105 (2007)
https://doi.org/10.1063/1.2818561
Published: December 2007
View articletitled, Multiparticle quasiexactly solvable difference equations
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Journal Articles

Quasiexactly solvable difference equations

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Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 122104 (2007)
https://doi.org/10.1063/1.2818560
Published: December 2007
View articletitled, Quasiexactly solvable difference equations
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Journal Articles

Exact Heisenberg operator solutions for multiparticle quantum mechanics

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 082106 (2007)
https://doi.org/10.1063/1.2771544
Published: August 2007
View articletitled, Exact Heisenberg operator solutions for multiparticle quantum mechanics
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Journal Articles

Deformed multivariable Fokker-Planck equations

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Choon-Lin Ho, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 48, 073302 (2007)
https://doi.org/10.1063/1.2748375
Published: July 2007
View articletitled, Deformed multivariable Fokker-Planck equations
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Journal Articles

Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 102102 (2006)
https://doi.org/10.1063/1.2349485
Published: October 2006
View articletitled, Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
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Journal Articles

Equilibrium positions, shape invariance and Askey–Wilson polynomials

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Satoru Odake, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 46, 063513 (2005)
https://doi.org/10.1063/1.1927080
Published: June 2005
View articletitled, Equilibrium positions, shape invariance and Askey–Wilson polynomials
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Journal Articles

Negative binomial and multinomial states: Probability distributions and coherent states

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Hong-Chen Fu, Ryu Sasaki
Journal: Journal of Mathematical Physics
J. Math. Phys. 38, 3968–3987 (1997)
https://doi.org/10.1063/1.532102
Published: August 1997
View articletitled, Negative binomial and multinomial states: Probability distributions and coherent states
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