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A Trace Formula for Multidimensional Schrödinger Operators

✍ Scribed by F Gesztesy; H Holden; B Simon; Z Zhao

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
902 KB
Volume
141
Category
Article
ISSN
0022-1236

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✦ Synopsis

We prove multidimensional analogs of the trace formula obtained previously for one-dimensional Schro dinger operators. For example, let V be a continuous function on [0, 1] & /R & . For A/[1, ..., &], let &2 A be the Laplace operator on [0, 1] & with mixed Dirichlet Neumann boundary conditions .(x)=0, x j =0 or x j =1 for j # A, .

x j (x)=0, x j =0 or x j =1 for j  A.

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