Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential

Alviu Rey Nasir (), Jingle Magallanes, Jinky Bornales and José Luís Da Silva
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Alviu Rey Nasir: Department of Physics, College 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
Jinky Bornales: Department of Physics, College 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

Mathematics, 2023, vol. 11, issue 7, 1-13

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.

Keywords: white noise functional; perturbation; Feynman integrals; harmonic oscillator; Morse potential (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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