A New Concept of the Analytic Operator-Valued Feynman Integral on Wiener Space. (3rd April 2017)

• Record Type: Journal Article
• Authors: Chang, Seung Jun; Skoug, David; Chung, Hyun Soo
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 4(2017)
• Page Start: 427
• Page End: 442
• Publication Date: 2017-04-03
• Subjects: Analytic operator-valued Feynman integral -- (an)harmonic oscillator -- diffusion equation -- Feynman–Kac formula -- Schrödinger equation; 60J65 -- 28C20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1251455
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article we introduce a new concept of an analytic operator-valued Feynman integral for functionals on Wiener space, which we then use to explain various physical phenomena. We then establish the existence of some analytic operator-valued Feynman integrals that prove useful in establishing various applications in quantum mechanics.