2024-03-29T13:30:26Z
http://eprints.biblio.unitn.it/cgi/oai2
oai:eprints.biblio.unitn.it:377
2012-02-28T14:16:22Z
7374617475733D756E707562
7375626A656374733D51:5143:51433137342E31372E503237
7375626A656374733D51:5143:51433137342E32
74797065733D746563687265706F7274
Feynman path integrals for polynomially growing potentials
Albeverio, Sergio
Mazzucchi, Sonia
QC174.2 Schrodinger Equation
QC174.17.P27 Integrals, path
A general class of infinite dimensional oscillatory integrals with polynomially growing phase functions is studied. A representation formula of the Parseval type is proved, as well as a formula giving the integrals in terms of analytically continued absolutely convergent integrals. These results are applied to provide a rigorous Feynman path integral representation for the solution of the time dependent Schrödinger equation with a quartic anharmonial potential. The Borel summability of the asymptotic expansion of the solution in power series of the coupling constant is also proved.
2003
Departmental Technical Report
NonPeerReviewed
application/pdf
http://eprints.biblio.unitn.it/377/1/UTM638.pdf
Albeverio, Sergio and Mazzucchi, Sonia (2003) Feynman path integrals for polynomially growing potentials. UNSPECIFIED. (Unpublished)
http://eprints.biblio.unitn.it/377/
oai:eprints.biblio.unitn.it:780
2012-02-28T14:18:06Z
7374617475733D756E707562
7375626A656374733D51:5143:51433137342E31372E503237
7375626A656374733D51:5143:51433137342E32
74797065733D746865736973
Feynman Path Integrals
Mazzucchi, Sonia
QC174.2 Schrodinger Equation
QC174.17.P27 Integrals, path
Not available
2003
Thesis
NonPeerReviewed
application/pdf
http://eprints.biblio.unitn.it/780/1/PhDTS39.pdf
Mazzucchi, Sonia (2003) Feynman Path Integrals. UNSPECIFIED thesis, UNSPECIFIED.
http://eprints.biblio.unitn.it/780/