next up previous
Next: About this document ... Up: Dissipation in Deforming Chaotic Previous: Appendix L: Explicit relation

Bibliography

1
M. Abramowitz and I.S. Stegun, editors.
Handbook of mathematical functions.
Dover, NY, 1965.
see Chapter 20.

2
C. S. Adams, M. Sigel, and J. Mlynek.
Phys. Rep., 240:143, 1994.

3
S. K. Adhikari.
Am. J. Phys., 54:362, 1986.

4
C. G. Aminoff, A. M. Stearne, P. Bouyer, P. Desbiolles, J. Dalibard, and C. Cohen-Tannoudji.
Phys. Rev. Lett., 71:3083, 1993.

5
E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen.
LAPACK Users' Guide.
P.O. Box 7260, Philadelphia, PA 19104, third edition, August 1999.
http://netlib2.cs.utk.edu/lapack/lug/lapack_lug.html.

6
E. Arcos, G. Baez, P. A. Cuatlayol, M. L. H. Prian, R. A. Mendez-Sanchez, and H. Hernandez-Saldana.
Vibrating soap films: An analog for quantum chaos on billiards.
Am. J. Phys., 66:601, 1998.

7
G. Arfken.
Mathematical methods for physicists.
Academic Press, 3rd edition, 1985.

8
N. W. Ashcroft and N. D. Mermin.
Solid State Physics.
W. B. Saunders, Philadelphia, 1976.

9
A. Ashkin.
Phys. Rev. Lett., 24:156, 1970.

10
A. Ashkin.
Proc Natl. Acad. Sci. USA, 94:4853, 1997.

11
O. M. Auslaender and S. Fishman.
Phys. Rev. Lett., 84:1886-9, 2000.

12
H. P. Baltes and E. R. Hilf.
Spectra of finite systems.
Bibliographisches Institut, Mannheim, 1976.

13
V. I. Balykin, V. S. Letokhov, Yu. B. Ovchinnikov, and A. I. Sidorov.
Phys. Rev. Lett., 60:2137, 1988.

14
A. H. Barnett, D. Cohen, and E. J. Heller.
Deformations and dilations of chaotic billiards: dissipation rate, and quasi-orthogonality of the boundary wavefunctions.
Phys. Rev. Lett., 85:1412, 2000.
preprint nlin.CD/0003018.

15
A. H. Barnett, D. Cohen, and E. J. Heller.
Rate of energy absorption for a driven chaotic cavity.
submitted to J. Phys. A, June 2000.
preprint nlin.CD/0006041.

16
A. H. Barnett, S. P. Smith, M. Olshanii, K. S. Johnson, A. W. Adams, and M. Prentiss.
Substrate-based atom waveguide using guided two-color evanescent light fields.
Phys. Rev. A, 61:023608, 2000.
preprint physics/9907014.

17
D. Baye and P. Heenan.
J. Phys. A, 19:2041, 1985.

18
J. E. Bayfield.
Quantum Evolution: an introduction to time-dependent quantum mechanics.
Wiley, 1999.

19
E. B. Becker, G. F. Carey, and J. T. Oden.
Finite Elements.
Prentice-Hall, Englewood Cliffs, N.J., 1981.

20
C. W. J. Beenakker and H. van Houten.
Quantum transport in semiconductor nanostructures.
Solid State Physics, 44:1-228, 1991.

21
L. L. Beranek.
Wallace Clement Sabine and acoustics.
Physics Today, page 44, February 1985.

22
T. Bergeman, G. Erez, and H. J. Metcalf.
Phys. Rev. A, 35:1535, 1987.

23
M. V. Berry.
Quantizing a classically ergodic system: Sinai billiard and the KKR method.
Ann. Phys., 131:163-216, 1981.

24
M. V. Berry.
Semiclassical theory of spectral rigidity.
Proc. Roy. Soc. London A, 400:229, 1985.

25
M. V. Berry.
Some quantum-to-classical asymptotics.
In M. J. Giannoni, A. Voros, and J. Zinn-Justin, editors, Proceedings of the 1989 Les Houches Summer School on ``Chaos and Quantum Physics'', pages 251-303, North-Holland, 1991. Elsevier Science Publishers B.V.

26
M. V. Berry.
J. Phys. A, 27:L391-8, 1994.

27
M. V. Berry and J. M. Robbins.
Chaotic classical and half-classical adiabatic reactions: geometric magnetism and deterministic friction.
Proc. R. Soc. Lond., 442:659-672, 1993.

28
M. V. Berry and M. Wilkinson.
Diabolical points in the spectra of triangles.
Proc. Roy. Soc. London A, 392:15, 1984.

29
J. Blocki, Y. Boneh, J. R. Nix, J. Randrup, M. Robei, A.J. Sierk, and W. J. Swiatecki.
One-body dissipation and the super-viscidity of nuclei.
Ann. Phys., 113:330-386, 1977.

30
J. Blocki, F. Brut, and W. J. Swiatecki.
Nucl. Phys. A, 554:107, 1993.

31
J. Blocki, Y.-J. Shi, and W. J. Swiatecki.
Nucl. Phys. A, 554:387, 1993.

32
J. Blocki, J. Skalski, and W. J. Swiatecki.
Nucl. Phys. A, 594:137, 1995.

33
P. A. Boasman.
Nonlinearity, 7:485, 1994.

34
E. B. Bogomolny.
Nonlinearity, 5:805-866, 1992.

35
O. Bohigas.
Random matrix theories and chaotic dynamics.
In M. J. Giannoni, A. Voros, and J. Zinn-Justin, editors, Proceedings of the 1989 Les Houches Summer School on ``Chaos and Quantum Physics'', pages 87-199, North-Holland, 1991. Elsevier Science Publishers B.V.

36
C. A. Brebbia, editor.
Progress in Boundary Element Methods, volume 1. Halstead Press, 1981.

37
R. Brown, E. Ott, and C. Grebogi.
J. Stat. Phys., 49:511, 1987.

38
G. W. Bryant.
Phys. Rev. B, 39:3145, 1989.

39
A. Bulgac and P. Magierski.
Eigenstates for billiards of arbitrary shapes.
preprint physics/9902057, 1999.

40
L. A. Bunimovich.
Sov. Phys. JETP, 62:842, 1985.

41
M. Büttiker.
Phys. Rev. Lett., 57:1761, 1986.

42
by the staff of Engineering Research Associates, Inc.
High-speed computing devices.
McGraw-Hill, 1950.

43
Y. S. Chan.
Theories and Applications of Multiple Scattering of S-wave Scatterers.
PhD thesis, Harvard University, Cambridge, MA, September 1997.

44
T. Cheon and T. Shigehara.
Phys. Rev. Lett., 82:2536, 1999.

45
S. Chu.
Rev. Mod. Phys., 70:685, 1998.

46
D. Cohen.
Chaos and energy spreading for time-dependent hamiltonians, and the various regimes in the theory of quantum dissipation.
Ann. Phys., 1999.

47
D. Cohen.
Quantum dissipation due to the interaction with chaotic degrees of freedom and the correspondence principle.
Phys. Rev. Lett., 82:4951-5, 1999.

48
D. Cohen, A. H. Barnett, W. Bies, and E. J. Heller.
Parametric evolution for a deformed cavity.
submitted to Phys. Rev. E, August 2000.
preprint nlin.CD/0008040.

49
D. Cohen and T. Kottos.
Parametric dependent hamiltonians, wavefunctions, random-matrix-theory, and quantal-classical correspondence.
preprint nlin.CD/0001026, 2000.

50
C. Cohen-Tannoudji.
Fundamental systems in quantum optics.
In J. Dalibard, J.-M. Raimond, and J. Zinn-Justin, editors, Proceedings of the 1990 Les Houches Summer School. North-Holland, Amsterdam, 1992.

51
C. Cohen-Tannoudji.
Rev. Mod. Phys., 70:707, 1998.

52
R. J. Cook and R. K. Hill.
Opt. Comm., 43:258, 1982.

53
P. Dahlqvist.
Phys. Rev. E, 60:6639, 1999.

54
P. Dahlqvist and R. Artuso.
Phys. Lett., 219A:212, 1996.

55
S. Datta.
Electronic Transport in Mesoscopic Systems.
Cambridge University Press, NY, 1995.

56
J. B. Davies.
Finite element analysis of waveguides and cavities - a review.
IEEE Transactions on Magnetics, 29(2):1578, 1993.

57
M. J. Davis and E. J. Heller.
J. Chem. Phys., 71:4759, 1979.

58
P. Davis and P. Rabinowitz.
Methods of Numerical Integration.
Academic Press, Orlando, FL, 2nd edition, 1984.

59
J. Denschlag, D. Cassettari, and J. Schmiedmayer.
Phys. Rev. Lett., 82:2014, 1999.

60
A. Derevianko, W. R. Johnson, M. S. Safronova, and J. F. Babb.
Phys. Rev. Lett., 82:3589, 1999.

61
P. Desbiolles, M. Arndt, P. Szriftgiser, and J. Dalibard.
Phys. Rev. A, 54:4292, 1996.

62
P. Desbiolles and J. Dalibard.
Opt. Comm., 132:540, 1996.

63
B. Dietz, J.-P. Eckmann, C.-A. Pillet, U. Smilansky, and I. Ussishkin.
Phys. Rev. E, 51:4222, 1995.

64
B. Dietz and U. Smilansky.
Chaos, 3:581, 1993.

65
T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, and W. Zwerger.
Quantum Transport and Dissipation.
Wiley-VCH, Weinheim, 1998.

66
E. Doron and U. Smilansky.
Semiclassical quantization of chaotic billiards -- a scattering theory approach.
Nonlinearity, 5:1055-1084, 1992.

67
J. P. Dowling and J. Gea-Banacloche.
Adv. At. Mol. Opt. Phys., 37:1, 1996.

68
I. E. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii.
Adv. Phys., 10:165, 1961.

69
C. Ellegaard, T. Guhr, K. Lindemann, H. Q. Lorensen, J. Nygard, and M. Oxborrow.
Phys. Rev. Lett., 75:1546-9, 1995.

70
B. D. Esry, C. D. Lin, and C. H. Greene.
Phys. Rev. A, 54:394, 1996.

71
T. Esslingera, M. Weidemüller, A. Hemmerich, and T. W. Hänsch.
Opt. Lett., 18:450, 1993.

72
M. Feingold, D. Leitner, and M. Wilkinson.
Phys. Rev. Lett., 66:986, 1991.

73
M. Feingold and A. Peres.
Phys. Rev. A, 34:591, 1986.

74
D. S. Fisher and P. A. Lee.
Phys. Rev. B, 23:6851, 1981.

75
S. Fishman.
In G. Casati, I. Guarneri, and U. Smilansky, editors, Proceedings of the International School of Physics ``Enrico Fermi'', Course CXIX. North-Holland, 1993.

76
R. Folman, P. Krüger, D. Cassettaria, B. Hessmo, T. Maier, and J. Schmiedmayer.
Phys. Rev. Lett., 84:4749, 2000.

77
B. Friedman.
Principles and techniques of applied mathematics.
John Wiley & Sons, Inc., N.Y., 1956.

78
B. Friedman and Jr. R. F. Martin.
Phys. Lett., 105A:23, 1984.

79
C. V. Gardiner.
Handbook of Stochastic Methods.
Springer-Verlag, 1983.

80
P. E. Gill, W. Murray, and M. H. Wright.
Numerical linear algebra and optimization, volume 1.
Addison-Wesley, 1991.

81
G. H. Golub and C. F. Van Loan.
Matrix computations.
Academic Press, 2nd edition, 1989.

82
J. P. Gordon and A. Ashkin.
Phys. Rev. A, 21:1606, 1980.

83
C. Grebogi, S. M. Hammel, J. A. Yorke, and T. Sauer.
Phys. Rev. Lett., 65:1527-1530, 1990.

84
D. A. Greenwood.
The Boltzmann equation in the theory of electrical conduction in metals.
Proc. Phys. Soc., 71:585-598, 1958.

85
R. Grimm, M. Weidemüller, and Yu. B. Ovchinnikov.
Adv. At. Mol. Opt. Phys., 42:95, 2000.
preprint physics/9902072.

86
G. C. Groenenboom and D. T. Colbert.
J. Chem. Phys., 99:315, 1993.

87
R. Gruber, editor.
Finite Elements in Physics, Amsterdam, 1987. North-Holland.
Proceedings of the the 1st European Graduate Summer Course on Computational Physics, September 1986.

88
M. C. Gutzwiller.
Chaos in Classical and Quantum Mechanics.
Springer-Verlag, NY, 1990.
see Chapter 7.

89
S. M. Hammel, J. A. Yorke, and C. Grebogi.
J. Complexity, 3:136, 1987.

90
E. J. Heller.
Bound state eigenfunctions of classically chaotic hamiltonian systems: Scars of periodic orbits.
Phys. Rev. Lett., 53:1515, 1984.

91
E. J. Heller.
Semiclassical wave packet dynamics and chaos in quantum mechanics.
In M. J. Giannoni, A. Voros, and J. Zinn-Justin, editors, Proceedings of the 1989 Les Houches Summer School on ``Chaos and Quantum Physics'', pages 547-663, North-Holland, 1991. Elsevier Science Publishers B.V.

92
C. Henkel and M. Wilkens.
Europhys. Lett., 47:414-420, 1999.

93
J. S. Hersch.
Scattering in the extreme quantum limit.
PhD thesis, Harvard University, Cambridge, MA, September 1999.

94
J. S. Hersch, M. R. Haggerty, and E. J. Heller.
Phys. Rev. Lett., 83:5342, 1999.

95
J. S. Hersch, M. R. Haggerty, and E. J. Heller.
Phys. Rev. E (to appear), 2000.

96
E. A. Hinds and V. Sandoghdar.
Phys. Rev. A, 43:398, 1991.

97
E. A. Hindsa, M. G. Boshier, and I. G. Hughes.
Phys. Rev. Lett., 80:645, 1998.

98
K. Hornberger and U. Smilansky.
J. Phys. A, 33:2829, 2000.

99
Y. Imry.
Introduction to Mesoscopic Systems.
Oxford University Press, 1997.

100
M. Itagaki, S. Nishiyama, S. Tomioka, T. Enoto, and N. Sahashi.
A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary element method.
Adv. Eng. Software, 26:219-227, 1996.

101
M. Itagaki, S. Nishiyama, S. Tomioka, T. Enoto, and N. Sahashi.
Power iterative multiple reciprocity boundary element method for solving three-dimensional Helmholtz eigenvalue problems.
Eng. Anal. with Boundary Elements, 20:113-121, 1997.

102
H. Ito, T. Nakata, K. Sakaki, and M. Ohtsu.
Phys. Rev. Lett., 76:4500, 1996.

103
H. Ito, K. Sakaki, M. Ohtsu, and W. Jhe.
App. Phys. Lett., 70:2496, 1997.

104
J. Fortagh and A. Grossmanna and C. Zimmermann and T. W. Hänsch.
Phys. Rev. Lett., 81:5310, 1998.

105
J. D. Jackson.
Classical Electrodynamics.
Wiley, NY, 1975.

106
C. Jarzynski.
Diffusion equation for energy in ergodic adiabatic ensembles.
Phys. Rev. A, 46:7498-7509, 1992.

107
C. Jarzynski.
Energy diffusion in a chaotic adiabatic billiard gas.
Phys. Rev. E, 48:4340-50, 1993.

108
C. Jarzynski.
Multiple-time-scale approach to ergodic adiabatic systems: another look.
Phys. Rev. Lett., 71:839-842, 1993.

109
R. Kaiser, Y. Levy, N. Vansteenkiste, A. Aspect, W. Seifert, D. Leipold, and J. Mlynek.
Opt. Commun., 104:234, 1994.

110
V. Kalmeyer and R. B. Laughlin.
Phys. Rev. B, 35:9805, 1987.

111
L. Kaplan and E. J. Heller.
Phys. Rev. E, 59:6609-28, 1999.

112
J. A. Katine, M. A. Eriksson, A. S. Adourian, R. M. Westervelt, J. D. Edwards, A. Lupu-Sax, E. J. Heller, K. L. Campman, and A. C. Gossard.
Phys. Rev. Lett., 79:4806, 1997.

113
S. Kawata and T. Sugiura.
Opt. Lett., 17:772, 1992.

114
S. Kawata and T. Tani.
Opt. Lett., 21:1768, 1996.

115
W. Ketterle and N.J. van Druten.
Phys. Rev. A, 54:656, 1996.

116
M. Key, I. G. Hughes, W. Rooijakkers, B. E. Sauer, E. A. Hinds, D. J. Richardson, and P. G. Kazansky.
Phys. Rev. Lett., 84:1371, 2000.

117
H. Kogelnik.
Theory of optical waveguides.
In T. Tamir, editor, Guided-Wave Optoelectronics, chapter 2, pages 7-88. Springer-Verlag, 2nd edition, 1990.

118
S. E. Koonin, R. L. Hatch, and J. Randrup.
One-body dissipation in a linear response approach.
Nucl. Phys. A, 283:87-107, 1977.

119
S. E. Koonin and D. C. Meredith.
Computational Physics.
Addison-Wesley, 1990.

120
S. E. Koonin and J. Randrup.
Classical theory for one-body nuclear dynamics.
Nucl. Phys. A, 289:475-510, 1977.

121
I. Kosztin and K. Schulten.
Intl. J. Mod. Phys., 8:293-325, 1997.
preprint physics/9702022.

122
R. Kubo.
A general expression for the conductivity tensor.
Canadian J. Phys., 34:1274-7, 1956.

123
A. Kudrolli, V. Kidambi, and S. Sridhar.
Phys. Rev. Lett., 75:822-5, 1995.

124
G. Labeyrie, A. Landgragin, J. Von Zanthiert, R. Kaiser, N. Vansteenkiste, C. Westbrook, and A. Aspect.
Quant. Semiclass. Opt., 8:603, 1996.

125
C. Lanczos.
J. Res. Nat. Bur. Standards, 45:255-281, 1950.

126
L. D. Landau and E. M. Lifshitz.
Mechanics.
Pergamon, 1967.

127
L. D. Landau and E. M. Lifshitz.
Statistical Physics.
Pergamon, 3rd edition, 1994.

128
L. D. Landau and E. M. Lifshitz.
Quantum Mechanics.
Butterworth-Heinemann, 3rd edition, 1998.

129
R. Landauer.
IBM J. Res. Dev., 1:233, 1957.

130
R. Landauer.
Z. Phys. B, 68:217, 1987.

131
A. M. Lane and R. G. Thomas.
Rev. Mod. Phys., 30:257, 1958.

132
I. R. Lapidus.
Am. J. Phys., 50:45, 1982.

133
R. Lehoucq, K. Maschhoff, D. Sorensen, and C. Yang.
ARPACK: Arnoldi Package, 1997.
http://www.caam.rice.edu/software/ARPACK/.

134
B. Li.
Phys. Rev. E, 55:5376-79, 1997.

135
B. Li and B. Hu.
J. Phys. A, 31:483-504, 1998.

136
B. Li and M. Robnik.
J. Phys. A, 28:2799, 1995.

137
B. Li, M. Robnik, and B. Hu.
Phys. Rev. E, 57:4095-4105, 1998.

138
R. G. Littlejohn.
Optimizing basis sets for quantum mechanical calculations.
Talk presented to Heller Group, November 1999.

139
Y. Lu and F. A. Fernandez.
An efficient finite element solution of inhomogeneous anisotropic and lossy dielectric waveguides.
IEEE Transactions on Microwave Theory and Techniques, 41(6/7):1215, 1993.

140
A. Lupu-Sax.
Quantum scattering theory and applications.
PhD thesis, Harvard University, Cambridge, MA, September 1998.

141
H. Mabuchi and J. H. Kimble.
Opt. Lett., 19:749, 1994.

142
E. A. J. Marcatili.
Bell Syst. Tech. J., 48:2103, 1969.

143
D. Marcuse.
J. Opt. Soc. Am., 66:216, 1976.

144
A. Matulis and D. Šegzda.
J. Phys. Cond. Mat., 1:2289, 1989.

145
S. W. McDonald and A. N. Kaufman.
Phys. Rev. Lett., 42:1189, 1979.

146
M. L. Mehta.
Random matrices and the statistical theory of energy levels.
Academic Press, NY, 2nd edition, 1991.

147
P. Mezza, J. Phalippou, and P. Sempere.
J. Non-Cryst. Solids, 243:75, 1999.

148
P. M. Morse and H. Feshbach.
Methods of Theoretical Physics, volume 2.
McGraw-Hill, NY, 1953.

149
T. Mukhopadhyay and S. Pal.
Phys. Rev. C, 56:296-301, 1997.

150
S. V. Nitta, V. Pisupatti, A. Jain, P. C. Wayner Jr, W. N. Gill, and J. L. Plawsky.
J. Vac. Sci. Tech. B, 17:205, 1999.

151
M. A. Olshanii.
Laser Physics, 4:995, 1994.

152
M. A. Olshanii.
Phys. Rev. Lett., 81:938, 1998.

153
E. Ott.
Goodness of ergodic adiabatic invariants.
Phys. Rev. Lett., 42:1628-31, 1979.

154
E. Ott.
Chaos in dynamical systems.
Cambridge University Press, NY, 1993.

155
Yu. B. Ovchinnikov, I. Manek, and R. Grimm.
Phys. Rev. Lett., 79:2225, 1997.

156
Yu. B. Ovchinnikov, S. V. Shul'ga, and V. I. Balykin.
J. Phys. B, 24:3173, 1991.

157
Yu. B. Ovchinnikov, J. Söding, and R. Grimm.
JETP Lett., 61:21, 1995.

158
S. Pal and T. Mukhopadhyay.
Phys. Rev. C, 54:1333-1340, 1996.

159
W. D. Phillips.
Rev. Mod. Phys., 70:721, 1998.

160
D. Pines and P. Nozières.
The Theory of Quantum Liquids.
W. A. Benjamin, Menlo Park, CA, 1966.

161
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery.
Numerical Recipes in C.
Cambridge University Press, second edition, 1992.
Note that I recommend this only as a textbook as an introduction to concepts in numerical methods; I do not endorse the code examples.

162
H. Primack.
Quantal and Semiclassical analysis of the three-dimensional Sinai billiard.
PhD thesis, Weizmann Institute, Rehovot, Israel, September 1997.

163
T. Prosen.
Physica D, 91:244, 1996.

164
T. Prosen and M. Robnik.
J. Phys. A, 26:1105-14, 1993.

165
T. Prosen and M. Robnik.
J. Phys. A, 27:8059, 1994.

166
Jr. R. J. Riddell.
J. Comp. Phys., 31:21-41; 42-59, 1979.

167
Lord Rayleigh.
Phil. Mag., 41:107, 1871.

168
Lord Rayleigh.
Phil. Mag., 43:259, 1897.

169
G. Rempe, R. J. Thompson, H. J. Kimble, and R. Lalezari.
Opt. Lett., 17:363, 1992.

170
M. J. Renn, D. Montgomery, O. Vdovin, D. Z. Anderson, C. E. Wieman, and E. A. Cornell.
Phys. Rev. Lett., 75:3253, 1995.

171
M. Robnik.
J. Phys. A, 17:1049, 1984.

172
C. Rouvinez and U. Smilansky.
J. Phys. A, 28:77-104, 1995.

173
W. C. Sabine.
Collected Papers on Acoustics.
Peninsula Publishing, Los Altos, 1993.

174
J. J. Sakurai.
Modern Quantum Mechanics, Revised Edition.
Addison-Wesley, 1994.

175
M. J. Sanchez, E. Vergini, and D. A. Wisniacki.
Phys. Rev. E, 54:4812-18, 1996.

176
T. A. Savasa, S. N. Shaha, M. L. Schattenburg, J. M. Carter, and H. I. Smith.
J. Vac. Sci. Technol. B, 13:1995, 1995.

177
A. I. Schnirelman.
Usp. Mat. Nauk., 29:181, 1974.

178
S. Selleri and M. Zoboli.
J. Opt. Soc. Am. A, 14:1460, 1997.

179
Yu. V. Sharvin.
J. Exptl. Theoret. Phys. (U.S.S.R.), 48:984-985, 1965.
[trans. in Sov. Phys. JETP 21, 655 (1965).].

180
S. E. J. Shaw.
Discrete-Variable Representation.
Notes for the Heller Group, 2000.

181
K. L. Shepard, M. L. Roukes, and B. P. Van der Gaag.
Phys. Rev. Lett., 68:2660, 1992.

182
P. P. Silvester and R. L. Ferari.
Finite Elements for Electrical Engineers.
Cambridge University Press, 2nd edition, 1991.

183
E. Snitzer.
J. Opt. Soc. Am., 51:491, 1961.

184
L. Spruch and Y. Tikochinsky.
Phys. Rev. A, 48:4213, 1993.

185
S. Sridhar and E. J. Heller.
Phys. Rev. A, 46:1728, 1992.

186
Standard Performance Evaluation Corporation, 6585 Merchant Place, Suite 100, Warrenton, VA 20187, USA.
CPU95 Benchmark Results, 2000.
http://www.spec.org/.

187
A. D. Stone and A. Szafer.
IBM J. Res. Develop., 32:317, 1988.

188
G. Strang.
Linear algebra and its applications.
Academic Press, 3rd edition, 1988.

189
A. Szafer and A. D. Stone.
Phys. Rev. Lett., 62:300, 1989.

190
J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss.
Euro. Phys. J. D, 7:261, 1999.

191
J. H. Thywissen, R. M. Westervelt, and M. Prentiss.
Phys. Rev. Lett., 83:3762, 1999.

192
M. A. Topinka, B. J. LeRoy, R. M. Westervelt, S. E. J. Shaw, E. J. Heller, K. M. Maranowski, and A. C. Gossard.
Science (to be published), September 2000.

193
B.J. van Wees, H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon.
Phys. Rev. Lett., 60:848, 1988.

194
E. Vergini.
Estudio Cuántico y Semiclásico de Billares Clásicamente Caóticos.
PhD thesis, Universidad de Buenos Aires, 1995.

195
E. Vergini and M. Saraceno.
Calculation by scaling of highly excited states of billiards.
Phys. Rev. E, 52:2204-2207, 1995.

196
E. Vergini and D. A. Wisniacki.
Phys. Rev. E, 58:R5225, 1998.

197
J. D. Weinstein and K. G. Libbrecht.
Phys. Rev. A, 52:4004, 1995.

198
D. A. Wharam, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Richie, and G. A. C. Jones.
J. Phys. C, 21:L887, 1998.
also see [20] and references therein.

199
M. Wilkinson.
A semiclassical sum rule for matrix elements of classically chaotic systems.
J. Phys. A, 20:2415-23, 1987.

200
M. Wilkinson.
Statistical aspects of dissipation by Landau-Zener transitions.
J. Phys. A, 21:4021-37, 1988.

201
M. Wilkinson.
Dissipation by identical oscillators.
J. Phys. A, 23:3603-11, 1990.

202
M. Wilkinson and E. J. Austin.
J. Phys. A, 28:2277-96, 1995.

203
D. A. Wisniacki and E. Vergini.
Phys. Rev. E, 59:6579-84, 1999.

204
M. Wojtkowski.
Principles for the design of billiards with nonvanishing Lyapunov exponents.
Commun. Math. Phys., 105:391-414, 1986.

205
W. Xue and P. A. Lee.
Phys. Rev. B, 38:3913, 1988.

206
A. Yacoby and Y. Imry.
Phys. Rev. B, 41:5341, 1990.

207
Z-C. Yan, A. Dalgarno, and J. F. Babb.
Phys. Rev. A, 55:2882, 1997.



Alex Barnett 2001-10-03