A Remark on Smoothing of Magnetic Schrödinger Semigroups
Author
Lieven Smits
Bibliographical Reference
Communications in Mathematical Physics, volume 123 (1989), pages 527-528.
Abstract
We prove that, under mild regularity conditions, the magnetic Schrödinger
semigroup generated by
H0(a)
=
½ åj(iÑj-aj)2
has its range inside the
bounded continuous functions. We also give a counterexample for the general
case.
Availability
The author has some reprints left. If your library does not have this
particular journal issue, ask for a reprint by emailing him your postal address.
Remove "unwanted" from the address below.
lieven@sterunwanted.be
References
- Simon, Barry,
"Functional Integration and Quantum Physics,"
Academic Press, New York 1979.
-
Leinfelder, Herbert,
Gauge Invariance of Schrödinger Operators and
Related Spectral Properties, J. Operator Theory 9 (1983), 163-179.
- Simon, Barry,
Schrödinger Semigroups, Trans. Amer. Math. Soc.
7 (1982), 447-526.
History of this page
- Sep-Oct 2002: move to new site and update contact information
- 25 May 1998: add list of references
- 7 May 1998: include other information about the paper
- 1 Apr 1998: creation of the abstract