scholarly journals Ladder operators for solvable potentials connected with exceptional orthogonal polynomials

2015 ◽  
Vol 597 ◽  
pp. 012064 ◽  
Author(s):  
C Quesne
Keyword(s):  
Orthogonal Polynomials ◽  
Ladder Operators ◽  
Solvable Potentials ◽  
Exceptional Orthogonal Polynomials

scholarly journals HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS

2011 ◽  
Vol 26 (25) ◽  
pp. 1843-1852 ◽  
Author(s):  
C. QUESNE
Keyword(s):  
Quantum Mechanics ◽  
Orthogonal Polynomials ◽  
Higher Order ◽  
Wave Functions ◽  
Supersymmetric Quantum Mechanics ◽  
Solvable Potentials ◽  
Exactly Solvable Potentials ◽  
Exactly Solvable ◽  
Exceptional Orthogonal Polynomials

Exactly solvable rationally-extended radial oscillator potentials, whose wave functions can be expressed in terms of Laguerre-type exceptional orthogonal polynomials, are constructed in the framework of kth-order supersymmetric quantum mechanics, with special emphasis on k = 2. It is shown that for μ = 1, 2, and 3, there exist exactly μ distinct potentials of μth type and associated families of exceptional orthogonal polynomials, where μ denotes the degree of the polynomial gμ arising in the denominator of the potentials.

Solvable potentials with exceptional orthogonal polynomials

2015 ◽  
Vol 528 (3-4) ◽  
pp. 321-334
Author(s):  
Ashley Arsenault ◽  
Sheldon Opps ◽  
Nasser Saad
Keyword(s):  
Orthogonal Polynomials ◽  
Solvable Potentials ◽  
Exceptional Orthogonal Polynomials
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