11 citations · 13 across the 5 of their papers we have counts for
5 papers
Reduced Weyl asymptotics for pseudodifferential operators on bounded domains II. The compact group case
Roch Cassanas, Pablo Ramacher
Let be a compact group of isometries acting on -dimensional Euclidean space , and a bounded domain in which is transformed into itself un…
Semi-classical trace formula, isochronous case. Application to conservative systems
Roch Cassanas
Under conditions of clean flow we compute the leading term in the STF when the set of periods of the energy surface is discrete. Comparing to the case of non-degenerate periodic or…
The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order
Roch Cassanas, Heinz Siedentop
It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian…
Reduced Gutzwiller formula with symmetry: case of a Lie group
Roch Cassanas
We consider a classical Hamiltonian on , invariant by a Lie group of symmetry , whose Weyl quantization is a selfadjoint operator on $L^2(\mathbb{…
Reduced Gutzwiller formula with symmetry: case of a finite group
Roch Cassanas
We consider a classical Hamiltonian on , invariant by a finite group of symmetry , whose Weyl quantization is a selfadjoint operator on $L^2(\math…