AN APPROACH TO SOLUTION OF THE SCHRÖDINGER EQUATION USING FOURIER-TYPE FUNCTIONALS

DOI10.4134/JKMS.2013.50.2.259zbMath1266.60141OpenAlexW1967966984MaRDI QIDQ4919517

Hyun Soo Chung, Seung Jun Chang, Jae Gil Choi

Publication date: 14 May 2013

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2013.50.2.259

zbMATH Keywords

Schrödinger equation, harmonic oscillator, double-well potential, Fourier-type functional, Feynman-Kac formula, Fourier transform

Mathematics Subject Classification ID

Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

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