Physics – Quantum Physics
Scientific paper
1994-12-26
J.Phys. A28 (1995) 1765-1770
Physics
Quantum Physics
final version in J. Phys. A28 (1995) 1765-1770
Scientific paper
10.1088/0305-4470/28/6/027
The momentum operator for a particle in a box is represented by an infinite
order Hermitian matrix $P$. Its square $P^2$ is well defined (and diagonal),
but its cube $P^3$ is ill defined, because $P P^2\neq P^2 P$. Truncating these
matrices to a finite order restores the associative law, but leads to other
curious results.
Alon Ofir E.
Moiseyev Nimrod
Peres Asher
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