NDLI: Thermal Ionization

Content Provider	Springer Nature Link
Author	Fröhlich, Jürg Merkli, Marco
Copyright Year	2004
Abstract	In the context of an idealized model describing an atom coupled to black-body radiation at a sufficiently high positive temperature, we show that the atom will end up being ionized in the limit of large times. Mathematically, this is translated into the statement that the coupled system does not have any time-translation invariant state of positive (asymptotic) temperature, and that the expectation value of an arbitrary finite-dimensional projection in an arbitrary initial state of positive (asymptotic) temperature tends to zero, as time tends to infinity. These results are formulated within the general framework of W $^{*}$-dynamical systems, and the proofs are based on Mourre's theory of positive commutators and a new virial theorem. Results on the so-called standard form of a von Neumann algebra play an important role in our analysis.
Starting Page	239
Ending Page	287
Page Count	49
File Format	PDF
ISSN	13850172
Journal	Mathematical Physics, Analysis and Geometry
Volume Number	7
Issue Number	3
e-ISSN	15729656
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2004-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Group Theory and Generalizations Analysis Applications of Mathematics Geometry Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Mathematical Physics Geometry and Topology

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Thermal Ionization