2 papers
math-ph1999
Realizing holonomic constraints in classical and quantum mechanics
Richard Froese, Ira Herbst
We consider the problem of constraining a particle to a submanifold Sigma of configuration space using a sequence of increasing potentials. We compare the classical and quantum ver…
math-ph1998
A Mourre estimate for a Schroedinger operator on a binary tree
C. Allard, R. Froese
Let G be a binary tree with vertices V and let H be a Schroedinger operator acting on l^{2}(V). A decomposition of the space l^{2}(V) into invariant subspaces is exhibited yielding…