The spectrum of large powers of the Laplacian in bounded domains

E. Katzav*, M. Adda-Bedia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We present exact results for the spectrum of the Nth power of the Laplacian in a bounded domain. We begin with the one-dimensional case and show that the whole spectrum can be obtained in the limit of large N. We also show that it is a useful numerical approach valid for any N. Finally, we discuss implications of this work and present its possible extensions for non-integer N and for 3D Laplacian problems.

Original languageAmerican English
Article number022002
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number2
DOIs
StatePublished - 18 Jan 2008
Externally publishedYes

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