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1999 AN INFINITE-DIMENSIONAL HEISENBERG UNCERTAINTY PRINCIPLE
Yuh-Jia Lee, Aurel Stan
Taiwanese J. Math. 3(4): 529-538 (1999). DOI: 10.11650/twjm/1500407165

Abstract

An analogue of the classical Heisenberg inequality is given for an innite-dimensional space. The proof relies on a commutation relationship and integration by parts formula for Gaussian measure. We also discuss when the equality holds.

Citation

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Yuh-Jia Lee. Aurel Stan. "AN INFINITE-DIMENSIONAL HEISENBERG UNCERTAINTY PRINCIPLE." Taiwanese J. Math. 3 (4) 529 - 538, 1999. https://doi.org/10.11650/twjm/1500407165

Information

Published: 1999
First available in Project Euclid: 18 July 2017

zbMATH: 0939.46020
MathSciNet: MR1730986
Digital Object Identifier: 10.11650/twjm/1500407165

Subjects:
Primary: 28C20 , 46E50 , 60B05 , 60H99 , 81T99

Keywords: Gaussian measure , Heisenberg uncertainty principle , second quantization

Rights: Copyright © 1999 The Mathematical Society of the Republic of China

Vol.3 • No. 4 • 1999
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