264 citations · 515 across the 7 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.CA2007★ 80 cited
Orthogonal Polynomials from Hermitian Matrices
Satoru Odake, Ryu Sasaki
A unified theory of orthogonal polynomials of a discrete variable is presented through the eigenvalue problem of hermitian matrices of finite or infinite dimensions. It can be cons…
hep-th2007★ 26 cited
q-oscillator from the q-Hermite Polynomial
Satoru Odake, Ryu Sasaki
By factorization of the Hamiltonian describing the quantum mechanics of the continuous q-Hermite polynomial, the creation and annihilation operators of the q-oscillator are obtaine…
math-ph2007★ 2 cited
Interpolation of SUSY quantum mechanics
Satoru Odake, Yamac Pehlivan, Ryu Sasaki
Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics , is discussed together with related operators. For a wide…