arXiv Open Access 2000

Wave Invariants for Non-degenerate Closed Geodesics

Steve Zelditch

Lihat Sumber

Abstrak

This paper generalizes the methods and results of our article xxx.lanl.gov math.SP/0002036 from elliptic to general non-degenerate closed geodesics. The main purpose is to introduce a quantum Birkhoff normal form of the Laplacian at a general non-degenerate closed geodesic in the sense of V.Guillemin. Guillemin proved that the coefficients of the normal form at an elliptic closed geodesic could be determined from the wave invariants of this geodesic. We give a new proof, and extend its range to any non-degenerate closed geodesic.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Steve Zelditch

Format Sitasi

APA MLA BibTeX

Zelditch, S. (2000). Wave Invariants for Non-degenerate Closed Geodesics. https://arxiv.org/abs/math/0002037

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2000
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓