arXiv Open Access 2012

Remarks on quantum ergodicity

Gabriel Riviere

Lihat Sumber

Abstrak

We prove a generalized version of the Quantum Ergodicity Theorem on smooth compact Riemannian manifolds without boundary. We apply it to prove some asymptotic properties on the distribution of typical eigenfunctions of the Laplacian in geometric situations where the Liouville measure is not (or not known to be) ergodic.

Topik & Kata Kunci

math.SP math-ph math.DS

Penulis (1)

Gabriel Riviere

Format Sitasi

APA MLA BibTeX

Riviere, G. (2012). Remarks on quantum ergodicity. https://arxiv.org/abs/1209.3576

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓