Infinite matrices may violate the associative law

O. E. Alon, N. Moiseyev, A. Peres

Research output: Contribution to journalArticlepeer-review


The momentum operator for a particle in a box is represented by an infinite-order Hermitian matrix P. Its square P2 is well-defined (and diagonal), but its cube P3 is ill-defined, because P P2 not=P2 P. Truncating these matrices to a finite order restores the associative law, but leads to other curious results.

Original languageEnglish
Article number027
Pages (from-to)1765-1769
Number of pages5
JournalJournal of Physics A: Mathematical and General
Issue number6
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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