A Remark on Smoothing of Magnetic Schrödinger Semigroups


Lieven Smits

Bibliographical Reference

Communications in Mathematical Physics, volume 123 (1989), pages 527-528.


We prove that, under mild regularity conditions, the magnetic Schrödinger semigroup generated by
H0(a) = ½ j(ij-aj)2
has its range inside the bounded continuous functions. We also give a counterexample for the general case.


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.


  1. Simon, Barry, "Functional Integration and Quantum Physics," Academic Press, New York 1979.
  2. Leinfelder, Herbert, Gauge Invariance of Schrödinger Operators and Related Spectral Properties, J. Operator Theory 9 (1983), 163-179.
  3. Simon, Barry, Schrödinger Semigroups, Trans. Amer. Math. Soc. 7 (1982), 447-526.

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