t
c ≈ La dernière modification de cette page a été faite le 4 mai 2020 à 13:42. {\displaystyle t_{f}} {\displaystyle S[x]\approx S[x_{c}]+{\frac {1}{2}}\int _{t_{i}}^{t_{f}}\mathrm {d} t(m{\dot {y}}^{2}-V''(x_{c})y^{2})}, K
Elle est implicite dans sa thèse de 1942, et explicite dans la publication de 1948. 1 à l'instant e
It was developed by Feynman [2] and is based on a work of Dirac [3] (both reprinted in [4]).
−
t =
,
(
x
0 = k ω Feynman path integral approach to atomic interferometry. The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian. est sous-entendue.
, Ψ , ″ + (
i
En présence de Jehle, Feynman démontre que cette équation implique que
t f [
2
f i
∫ t ) c = ∫
x
D ;
à l'instant ) f c f t x
{\displaystyle \Psi '(t_{i})=1}, D )
x 1 i Cet outil mathématique s'est rapidement imposé en physique théorique avec sa généralisation à la théorie quantique des champs, permettant notamment une quantification des théories de jauge non-abéliennes plus simple que la procédure de quantification canonique. {\displaystyle N\to +\infty \,} =
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