A WHITE NOISE APPROACH TO PHASE SPACE FEYNMAN PATH INTEGRALS

被引：0
|
作者：
Bock, W. [1 ]
Grothaus, M. [1 ]
机构：
[1] Univ Kaiserslautern, Dept Math, Funct Anal & Stochast Anal Grp, D-67653 Kaiserslautern, Germany
来源：
THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS | 2011年 / 85卷
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D O I：
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中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The concepts of phase space Feynman integrals in White Noise Analysis are established. As an example the harmonic oscillator is treated. The approach perfectly reproduces the right physics. I.e., solutions to the Schrodinger equation are obtained and the canonical commutation relations are satisfied. The later can be shown, since we not only construct the integral but rather the Feynman integrand and the corresponding generating functional.
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页码：7 / 21
页数：15
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