Exceptional polynomials and SUSY quantum mechanics

Pramana

S Sree Ranjani²  V Srinivasan³  Prasanta K Panigrahi¹  R Radhakrishnan³  K V S Shiv Chaitanya1⁴ 

[1] Indian Institute of Science Education and Research (IISER), Kolkata, Mohanpur Campus, Nadia 714 252, India$$;Faculty of Science and Technology, ICFAI Foundation for Higher Education, Donthanapally, Hyderabad 501 203, India$$;Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025, India$$;BITS Pilani, Hyderabad Campus, Jawahar Nagar, Shameerpet Mandal, Hyderabad 500 078, India$$

关键词: Schrödinger equation;    exactly solvable potentials;    supersymmetry;    orthogonal polynomials;    exceptional orthogonal polynomials.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We show that for the quantum mechanical problem which admit classical Laguerre/Jacobi polynomials as solutions for the Schrödinger equations (SE), will also admit exceptional Laguerre/Jacobi polynomials as solutions having the same eigenvalues but with the ground state missing after a modification of the potential. Then, we claim that the existence of these exceptional polynomials leads to the presence of non-trivial supersymmetry.

【 授权许可】

Unknown