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New Classes of Exact Solutions to Three-dimensional Schrodinger Equation

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Proceedings of the Seventh International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1412))

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Abstract

New classes of exact solutions for the steady state Schrodinger equation are derived in this paper. The solutions are derived for both non-zero energy and zero energy problems. The sum of the inverse square law potential and a power law potential are considered in deriving the exact solutions. The solutions are derived in cartesian coordinates and without separating the variables.

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Authors and Affiliations

  1. Government Engineering College, Wayanad, Thalapuzha P.O., Wayanad, Kerala, India

    Subin P. Joseph

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  1. Subin P. Joseph
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Correspondence to Subin P. Joseph .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  2. The University of Texas at San Antonio, San Antonio, TX, USA

    Kim-Kwang Raymond Choo

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    Saminathan Ponnusamy

  4. Technical University of Denmark, Kongens Lyngby, Denmark

    Weizhi Meng

  5. Department of Computer Engineering, Ondokuz Mayis University, Atakum, Turkey

    Sedat Akleylek

  6. Department of Information Technology, Indian Institute of Engineering Science and Technology, West Bengal, India

    Santi Prasad Maity

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Cite this paper

Joseph, S.P. (2022). New Classes of Exact Solutions to Three-dimensional Schrodinger Equation. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_69

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