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Stone´s Theorem and Applications

Möller, Sven (2010) In Bachelor's Theses in Mathematical Sciences MATX01 20101
Mathematics (Faculty of Sciences)
Abstract
Stone's theorem establishes a bijection between self-adjoint operators on a Hilbert space and one-parameter groups of strongly continuous, unitary operators via a functional calculus. We will rst introduce the necessary terminology and then prove this result. We will study many of the numerous applications of Stone's theorem, especially those in quantum mechanics. We will also consider non-physics-related applications including an elegant proof of Bochner's theorem on positive-denite functions.
Please use this url to cite or link to this publication:
author
Möller, Sven
supervisor
organization
course
MATX01 20101
year
type
M2 - Bachelor Degree
subject
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4005-2010
ISSN
1654-6229
other publication id
2010:K2
language
English
id
2439974
date added to LUP
2014-12-15 14:43:42
date last changed
2018-10-11 16:22:41
@misc{2439974,
  abstract     = {Stone's theorem establishes a bijection between self-adjoint operators on a Hilbert space and one-parameter groups of strongly continuous, unitary operators via a functional calculus. We will rst introduce the necessary terminology and then prove this result. We will study many of the numerous applications of Stone's theorem, especially those in quantum mechanics. We will also consider non-physics-related applications including an elegant proof of Bochner's theorem on positive-denite functions.},
  author       = {Möller, Sven},
  issn         = {1654-6229},
  language     = {eng},
  note         = {Student Paper},
  series       = {Bachelor's Theses in Mathematical Sciences},
  title        = {Stone´s Theorem and Applications},
  year         = {2010},
}