Rigorous Time Slicing Approach to Feynman Path Integrals

• Κύριος συγγραφέας: Fujiwara, Daisuke (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2017.
• Σειρά: Mathematical Physics Studies,
• Θέματα: Mathematics.; Fourier analysis.; Functional analysis.; Partial differential equations.; Mathematical physics.; Mathematical Physics.; Functional Analysis.; Partial Differential Equations.; Fourier Analysis.

This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are...