Weyl's expansion for the asymptotic mode density of billiards consists of the area, length, curvature and corner terms. The area term has been associated with the so-called zero-length orbits. Here closed nonperiodic paths corresponding to the length and corner terms are constructed
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
Compact billiards in phase space, or action billiards, are constructed by truncating the classical H...
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
We derive an analytical trace formula for the level density of the two-dimensional elliptic billiard...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
The semiclassical Weyl series for the d-dimension, unit-radius sphere quantum billiard is studied. A...
2000 Mathematics Subject Classification: 37D40.We explain why the lengths of the closed orbits in a ...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
We compute explicitly the higher order terms of the formal Taylor expansion of Mather's $\beta$-func...
Following a conjecture of Berry and Howls (1994) concerning the geometric information contained with...
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth st...
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
Compact billiards in phase space, or action billiards, are constructed by truncating the classical H...
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
We derive an analytical trace formula for the level density of the two-dimensional elliptic billiard...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
We prove an estimate from below for the remainder in Weyl's law for smooth star-shaped planar domain...
The semiclassical Weyl series for the d-dimension, unit-radius sphere quantum billiard is studied. A...
2000 Mathematics Subject Classification: 37D40.We explain why the lengths of the closed orbits in a ...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of st...
We compute explicitly the higher order terms of the formal Taylor expansion of Mather's $\beta$-func...
Following a conjecture of Berry and Howls (1994) concerning the geometric information contained with...
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth st...
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
Compact billiards in phase space, or action billiards, are constructed by truncating the classical H...
We demonstrate that the exact quantum mechanical calculations are in good agreement with the semicla...
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