| Login | Create account | |
Below is the reference list for this article:
Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity
2008 J. Phys. A: Math. Theor. 41 135203 (23pp) doi: 10.1088/1751-8113/41/13/135203
HyperCite® linking technology enables you to link to abstracts, preprints or full text of referenced articles. Links to full text articles from IOP and other publishers are displayed in bold type (access is subject to subscription status). More information on reference links is available.
| Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions (Washington: National Bureau of Standards) | |
| Balian R and Bloch C 1970 Distribution of eigenfrequencies for the wave equation in a finite domain: I. Three-dimensional problem with smooth boundary surface Ann. Phys., NY 60 401-47
CrossRef Link | Order from Infotrieve | |
| Baltes H-P and Hilf E R 1976 Spectra of Finite Systems (Mannheim: B-I Wissenschaftsverlag) | |
| Berry M V 1981a Quantizing a classically ergodic system: Sinai's billiard and the KKR method Ann. Phys. 131 163-216
CrossRef Link | Order from Infotrieve | |
| Berry M V 1981b Regularity and chaos in classical mechanics, illustrated by three deformations of a circular billiard Eur. J. Phys. 2 91-102
IOP Article | |
| Berry M V 1986 Quantum Chaos and Statistical Nuclear Physics (Springer Lecture Notes in Physics) vol 263 ed T H Seligman and H Nishioka pp 1-17 | |
| Berry M V 1998 Lop-sided diffraction by absorbing crystals J. Phys. A: Math. Gen. 31 3493-502
IOP Article | |
| Berry M V and Ishio H 2002 Nodal densities of Gaussian random waves satisfying mixed boundary conditions J. Phys. A: Math. Gen. 5961-72
IOP Article | |
| Berry M V and Keating J P 1990 A rule for quantizing chaos? J. Phys. A: Math. Gen. 23 4839-49
IOP Article | |
| Born M and Wolf E 2005 Principles of Optics (London: Pergamon) | |
| Brown G C, Celli V, Coopersmith M and Haller M 1982 Unitary formalism for scattering from a hard corrugated wall Phys. Lett. 90A 361-3
Inspec Abstract | Order from Infotrieve | |
| Dietz B, Eckmann J-P, Pillet C-A, Smilansky U and Ussishkin I 1995 Inside-outside duality for planar billiards: a numerical study Phys. Rev. E 51 4222-31
CrossRef Link | Order from Infotrieve | |
| Dingle R B and Morgan G J 1967 WKB methods for difference equations I Appl. Sci. Res. 18 221-37
CrossRef Link | Order from Infotrieve | |
| Eckmann J-P and Pillet C-A 1995 Spectral duality for planar billiards Commun. Math. Phys. 170 283-313
CrossRef Link | Order from Infotrieve | |
| Gustavson K and Abe T 1998 The third boundary condition-was it Robin's? Math. Intell. 20 63-70
Order from Infotrieve | |
| Sieber M, Primack H, Smilansky U, Ussishkin I and Schanz H 1995 Semiclassical quantization of billiards with mixed boundary conditions J. Phys. A: Math. Gen. 28 5041-78
IOP Article | |
| Smilansky U 2004 Irreversible quantum graphs Waves Random Media 14 S143-53
CrossRef Link | Order from Infotrieve | |
| Solomyak M 2004 On a differential operator appearing in the theory of irreversible quantum graphs Waves Random Media 14 S173-85
CrossRef Link | Order from Infotrieve |
|