APPLICATIONS OF AN ANALOGUE OF CONDITIONAL WIENER INTEGRALS

作者：Lee Il Yong; Chung Hyun Soo; Chang Seung Jun^*

来源：Annals of Functional Analysis, 2015, 6(2): 116-132.

DOI：10.15352/afa/06-2-11

• Poschl-Teller potential
• analogue of conditional Wiener integral
• simple formula
• harmonic oscillator
• double-well potential

In this paper, we obtain formulas for the analogue of conditional Wiener integrals for the functional F of the form
F(x) = exp{integral V-T(0)(x(t))dt}, x is an element of C[0, T]
where V : R -> R is a potential function. We then apply this formula to obtain several integration formulas for the functionals involving various potential functions which is used in quantum mechanics and other physical theories.

• 出版日期2015