Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential

Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential

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

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Veröffentlicht in:Mathematics (Basel) 2023-04, Vol.11 (7), p.1632
Hauptverfasser: Nasir, Alviu Rey, Magallanes, Jingle, Bornales, Jinky, Da Silva, José Luís
Format: Artikel
Sprache:eng
Schlagworte:
Feynman integrals
Food science
harmonic oscillator
Harmonic oscillators
Hilbert space
Integrals
Mathematical functions
Mathematical research
Morse potential
Neighborhoods
perturbation
Physics
Quantum theory
White noise
white noise functional
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Zusammenfassung:We construct the Feynman integral for the Schrödinger propagator with combinations of exponentially growing and harmonic oscillator potentials as well-defined white noise functionals.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11071632