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Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential

Author

Listed:
  • Alviu Rey Nasir

    (Department of Physics, College of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines
    Premier Research Institute of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines)

  • Jingle Magallanes

    (Department of Physics, College of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines
    Premier Research Institute of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines)

  • Jinky Bornales

    (Department of Physics, College of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines
    Premier Research Institute of Science and Mathematics, Mindanao State University–Iligan Institute of Technology, Iligan City 9200, Philippines)

  • José Luís Da Silva

    (Faculdade de Cências Exatas e da Engenharia, Campus Universitário da Penteada, Universidade da Madeira, 9020-105 Funchal, Portugal)

Abstract

We construct the Feynman integral for the Schrödinger propagator with combinations of exponentially growing and harmonic oscillator potentials as well-defined white noise functionals.

Suggested Citation

  • Alviu Rey Nasir & Jingle Magallanes & Jinky Bornales & José Luís Da Silva, 2023. "Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential," Mathematics, MDPI, vol. 11(7), pages 1-13, March.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1632-:d:1109494
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