Regular two-point boundary value problems for the Schrödinger operator on a path |
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| Institution: | 1. Department of Biochemistry, Dr. Baba Saheb Ambedkar Medical College and Hospital, Government of NCT Delhi, Sector – 6, Rohini, Delhi 110085, India;3. School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Mehrauli Road, New Delhi 110067, India |
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| Abstract: | In this work we study the different type of regular boundary value problems on a path associated with the Schrödinger operator. In particular, we obtain the Green function for each problem and we emphasize the case of Sturm-Liouville boundary conditions. In any case, the Green function is given in terms of second kind Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Schödinger operator on a path. |
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