Download:
|
by Steven Zelditch
Comm. Math. Phys
http://www.ma.utexas.edu/mp_arc/c/95/95-264.ps.gz
Add To MetaCart
Abstract:
The purpose of this paper is to generalize some basic notions and results on quantum ergodicity ( [Sn],
Citations
|
41
|
An introduction to ergodic theory, Graduate Texts in Mathematics, Vol. 79
– Walters
- 1982
|
|
30
|
Uniform distribution of eigenfunctions on compact hyperbolic surfaces
– Zelditch
- 1987
|
|
25
|
Arithmetic quantum chaos
– Sarnak
- 1995
|
|
21
|
de Monvel and V. Guillemin, The spectral theory of Toeplitz operators
– Boutet
- 1981
|
|
19
|
The behaviour of eigenstates of arithmetic hyperbolic manifolds
– Rudnick, Sarnak
- 1994
|
|
19
|
A Course
– Thirring
- 1981
|
|
15
|
Ergodicity of eigenfunctions for ergodic billiards
– Zelditch, Zworski
- 1996
|
|
14
|
The Analysis of Linear
– Hormander
- 1985
|
|
7
|
Some classical theorems in spectral theory revisited, Seminars on singularities of solutions of linear partial differential equations
– Guillemin
- 1979
|
|
4
|
de Verdiere, Ergodicit'e et functions propres du
– Colin
- 1985
|
|
3
|
A version of Egorov's theorem for systems of hyperbolic pseudodi erential equations
– Cordes
- 1982
|
|
2
|
de Monvel, Toeplitz operators---an asymptotic quantization of symplectic cones
– Boutet
- 1990
|
|
2
|
Ergodic properties of eigenfunctions, Usp
– Snirelman
- 1974
|
|
2
|
Quantum ergodicity (preprint
– Sunada
- 1994
|
|
2
|
transition amplitudes for ergodic and for completely integrable systems
– Quantum
- 1990
|
|
1
|
Some problems in integral geometry and some related problems in microlocal analysis
– Guillemin, Sternberg
- 1979
|
|
1
|
Semi-classical asymptotics, gauge field, and quantum chaos
– Schrader, Taylor
- 1989
|
|
1
|
ergodicity on the sphere
– Quantum
- 1992
|
|
1
|
ergodicity of quantized contact transformations and symplectic toral automorphisms (preprint
– Quantum
- 1995
|
