Feynman path integrals for the inverse quartic oscillator
Journal Article
·
· Journal of Mathematical Physics
- Dipartimento di Matematica, Universita di Trento, 38050 Povo (Italy)
The Feynman path integral representation for the weak solution of the Schroedinger equation with an inverse quartic oscillator potential is given in terms of a well defined infinite dimensional oscillatory integral. An analytically continued Wiener integral representation for the solution is provided and an explicit description of the quantum dynamics associated with a nonessentially self-adjoint Hamiltonian is given.
- OSTI ID:
- 21175595
- Journal Information:
- Journal of Mathematical Physics, Vol. 49, Issue 9; Other Information: DOI: 10.1063/1.2976052; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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