logo SBA

ETD

Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-09292014-211403


Tipo di tesi
Tesi di laurea specialistica
Autore
BORASI, LUIGI MARCELLO
URN
etd-09292014-211403
Titolo
Complex scaled time oscillatory infinite dimensional integrals and the Gell-Mann Low formula
Dipartimento
FISICA
Corso di studi
SCIENZE FISICHE
Relatori
relatore Albeverio, Sergio
relatore Morchio, Giovanni
Parole chiave
  • analytic time
  • complex scaled time
  • feynman path integral
  • functional integral
  • gaussian measures
  • gell-mann low
  • Hilbert space
  • tilde integral
Data inizio appello
20/10/2014
Consultabilità
Completa
Riassunto
In the present Thesis, we will present an extension of the infinite dimensional oscillatory integral and the relative application of this extension to a simple physical model. The extension we are considering consists in dealing with a time evolution where the time is multiplied by a complex scale, this follows along the same ideas that are employed in formally relating Euclidean an Minkowskian Feynman Path Integrals, and will be in the present setting rigorously justified. We will apply these general methods to the simple model of an Anhamonic Quantum Oscillator. This model is simple enough to allow rigorous treatment, yet it has some of the relevant features of a Quantum Field Theory, in particular it can be regarded as a zero-dimensional Quantum Field Theory, and as uch can be employed as a toy model before engaging in more sophisticated theories. The complex scale extensions of the time parameter that we are introducing will allow us, in the present context, to prove in the context of rigorous Feynman path integration a variant of the important formula commonly referred to as Gell-Mann Low formula.
File