We now discuss the operator calculus anticipated in Chap. 12. This calculus allows us to do computations within quantum equilibrium in a very efficient and concise way. The core element is the spectral theorem for self-adjoint operators, which establishes a precise connection between operator-valued measures and self-adjoint operators.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Reed, B. Simon: Methods of Modern Mathematical Physics I: Functional Analysis, revised and enlarged edn. (Academic Press, San Diego, 1980)
E.B. Davies: Spectral Theory and Differential Operators, Cambridge Studies in Advanced Mathematics, Vol. 42 (Cambridge University Press, Cambridge, 1995)
M. Reed, B. Simon: Methods of Modern Mathematical Physics. II. Fourier Analysis, Self-Adjointness (Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1975)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dürr, D., Teufel, S. (2009). Measures and Operators. In: Bohmian Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b99978_15
Download citation
DOI: https://doi.org/10.1007/b99978_15
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89343-1
Online ISBN: 978-3-540-89344-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)