Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-22T14:21:53.919Z Has data issue: false hasContentIssue false
This chapter is part of a book that is no longer available to purchase from Cambridge Core

References

Kevin Cahill
Affiliation:
University of New Mexico
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Physical Mathematics , pp. 651 - 655
Publisher: Cambridge University Press
Print publication year: 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aitken, A. C. 1959. Determinants and Matrices. Oliver and Boyd.Google Scholar
Alberts, Bruce, Johnson, Alexander, Lewis, Julian, Raff, Martin, Roberts, Keith, and Walter, Peter. 2008. Molecular Biology of the Cell. 5th edn. Garland Science. Page 246.Google Scholar
Alligood, Kathleen T., Sauer, Tim D., and Yorke, James A. 1996. Chaos: an Introduction to Dynamical Systems. Springer-Verlag.Google Scholar
Arnold, V. I. 1989. Mathematical Methods of Classical Mechanics. 2nd edn. Springer. Chapter 7.CrossRefGoogle Scholar
Autonne, L. 1915. Sur les Matrices Hypohermitiennes et sur les Matrices Unitaires. Ann. Univ. Lyon, Nouvelle Série I, Fasc. 38, 1–77.Google Scholar
Bigelow, Matthew S., Lepeshkin, Nick N., and Boyd, Robert W. 2003. Superluminal and slow light propagation in a room-temperature solid. Science, 301(5630), 200–202.CrossRefGoogle Scholar
Bordag, Michael, Klimchitskaya, Galina Leonidovna, Mohideen, Umar, and Mostepanenko, Vladimir Mikhaylovich. 2009. Advances in the Casimir Effect. Oxford University Press.CrossRefGoogle Scholar
Bouchaud, Jean-Philippe, and Potters, Marc. 2003. Theory of Financial Risk and Derivative Pricing. 2nd edn. Cambridge University Press.CrossRefGoogle Scholar
Boyd, Robert W. 2000. Nonlinear Optics. 2nd edn. Academic Press.Google Scholar
Brillouin, L. 1960. Wave Propagation and Group Velocity. Academic Press.Google Scholar
Brunner, N., Scarani, V., Wegmüller, M., Legré, M., and Gisin, N. 2004. Direct measurement of superluminal group velocity and signal velocity in an optical fiber. Phys. Rev. Lett., 93(20), 203902.CrossRefGoogle Scholar
Cantelli, F. P. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 221–424.Google Scholar
Carroll, Sean. 2003. Spacetime and Geometry: an Introduction to General Relativity. Benjamin Cummings.Google Scholar
Cohen-Tannoudji, Claude, Diu, Bernard, and Laloë, Frank. 1977. Quantum Mechanics. Hermann & John Wiley.Google Scholar
Courant, Richard. 1937. Differential and Integral Calculus, Vol. I. Interscience.
Courant, Richard and Hilbert, David. 1955. Methods of Mathematical Physics, Vol. I. Interscience.Google Scholar
Creutz, Michael. 1983. Quarks, Gluons, and Lattices. Cambridge University Press.Google Scholar
Darden, Tom, York, Darrin, and Pedersen, Lee. 1993. Particle mesh Ewald: an Nlog(N) method for Ewald sums in large systems. J. Chem. Phys., 98(12), 10089.CrossRefGoogle Scholar
DeWitt, Bryce S. 1967. Quantum theory of gravity. II. The manifestly covariant theory. Phys. Rev., 162(5), 1195–1239.Google Scholar
Dirac, P. A. M. 1967. The Principles of Quantum Mechanics. 4th edn. Oxford University Press.Google Scholar
Dirac, P. A. M. 1996. General Theory of Relativity. Princeton University Press.CrossRefGoogle Scholar
Faddeev, L. D. and Popov, V. N. 1967. Feynman diagrams for the Yang–Mills field. Phys. Lett. B, 25(1), 29–30.CrossRefGoogle Scholar
Feller, William. 1966. An Introduction to Probability Theory and Its Applications. Vol. II. Wiley.Google Scholar
Feller, William. 1968. An Introduction to Probability Theory and Its Applications. 3rd edn. Vol. I. Wiley.Google Scholar
Feynman, Richard P. and Hibbs, A. R. 1965. Quantum Mechanics and Path Integrals. McGraw-Hill.Google Scholar
Frieman, Joshua A., Turner, Michael S., and Huterer, Dragan. 2008. Dark energy and the accelerating Universe. Ann. Rev. Astron. Astrophys., 46, 385–432. arXiv:0803.0982v1 [astro-ph].CrossRefGoogle Scholar
Gattringer, Christof and Lang, Christian B. 2010. Quantum Chromodynamics on the Lattice: an Introductory Presentation. Springer (Lecture Notes in Physics).CrossRefGoogle Scholar
Gehring, G. M., Schweinsberg, A., Barsi, C., Kostinski, N., and Boyd, R. W. 2006. Observation of backwards pulse propagation through a medium with a negative group velocity. Science, 312(5775), 895–897.CrossRefGoogle Scholar
Gelfand, Israel M. 1961. Lectures on Linear Algebra. Interscience.Google Scholar
Gell-Mann, Murray. 1994. The Quark and the Jaguar. W. H. Freeman.Google Scholar
Gell-Mann, Murray. 2008. Plectics. Lectures at the University of New Mexico.Google Scholar
Georgi, H. 1999. Lie Algebras in Particle Physics. 2nd edn. Perseus Books.Google Scholar
Glauber, Roy J. 1963a. Coherent and incoherent states of the radiation field. Phys. Rev., 131(6), 2766–2788.CrossRefGoogle Scholar
Glauber, Roy J. 1963b. The quantum theory of optical coherence. Phys. Rev., 130(6), 2529–2539.CrossRefGoogle Scholar
Glivenko, V. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 92–99.Google Scholar
Gnedenko, B. V. 1968. The Theory of Probability. Chelsea Publishing Co. Google Scholar
Gutzwiller, Martin C. 1990. Chaos in Classical and Quantum Mechanics. Springer.CrossRefGoogle Scholar
Hau, L.V., Harris, S. E., Dutton, Z., and Behroozi, C. H. 1999. Light speed reduction to 17 metres per second in an ultracold atomic gas. Nature, 397, 594.CrossRefGoogle Scholar
Hobson, M. P., Efstathiou, G. P., and Lasenby, A. N. 2006. General Relativity: an Introduction for Physicists. Cambridge University Press.CrossRefGoogle Scholar
Holland, John H. 1975. Adaptation in Natural and Artificial Systems. University of Michigan Press.Google Scholar
Ince, E. L. 1956. Integration of Ordinary Differential Equations. 7th edn. Oliver and Boyd, Ltd. Chapter 1.Google Scholar
James, F. 1994. RANLUX: a Fortran implementation of the high-quality pseudo-random number generator of Lüscher. Comp. Phys. Comm., 79, 110.CrossRefGoogle Scholar
Kleinert, Hagen. 2009. Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets. World Scientific.CrossRefGoogle Scholar
Knuth, Donald E. 1981. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. 2nd edn. Addison-Wesley.Google Scholar
Kolmogorov, Andrei Nikolaevich. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 83–91.Google Scholar
Langevin, Paul. 1908. Sur la théorie du mouvement brownien. Comptes Rend. Acad. Sci. Paris, 146, 530–533.Google Scholar
Larson, D., Dunkley, J., Hinshaw, G., Komatsu, E., Nolta, M.R., et al. 2011. Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: power spectra and WMAP-derived parameters. Astrophys. J. Suppl., 192, 16.CrossRefGoogle Scholar
Lifshitz, E. M. 1956. The theory of molecular attractive forces between solids. Sov. Phys. JETP, 2, 73.Google Scholar
Lin, I-Hsiung. 2011. Classic Complex Analysis. World Scientific.Google Scholar
Lüscher, M. 1994. A portable high-quality random number generator for lattice field theory simulations. Comp. Phys. Comm., 79, 100.CrossRefGoogle Scholar
Matzner, Richard A. and Shepley, Lawrence C. 1991. Classical Mechanics. Prentice Hall.Google Scholar
McCauley, Joseph L. 1994. Chaos, Dynamics, and Fractals. Cambridge University Press.Google Scholar
Metropolis, Nicholas, Rosenbluth, Arianna W., Rosenbluth, Marshall N., Teller, Augusta H., and Teller, Edward. 1953. Equation of state calculations by fast computing machines. J. Chem. Phys., 21(6), 1087–1092.CrossRefGoogle Scholar
Milonni, Peter W. and Shih, M.-L. 1992. Source theory of the Casimir force. Phys. Rev. A, 45(7), 4241–4253.CrossRefGoogle ScholarPubMed
Misner, Charles W., Thorne, Kip S., and Wheeler, John Archibald. 1973. Gravitation. W. H. Freeman.Google Scholar
Morse, Philip M. and Feshbach, Herman. 1953. Methods of Theoretical Physics. Vol. I. McGraw-Hill.Google Scholar
Parsegian, Adrian. 1969. Energy of an ion crossing a low dielectric membrane: solutions to four relevant electrostatic problems. Nature, 221, 844–846.CrossRefGoogle Scholar
Pathria, R. K. 1972. Statistical Mechanics. Pergamon Press. Chapter 13.Google Scholar
Pearson, Karl. 1900. On the criterion that a given system of deviations from the probable in the case of correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Phil. Mag., 50(5), 157–175.CrossRefGoogle Scholar
Riley, Ken, Hobson, Mike, and Bence, Stephen. 2006. Mathematical Methods for Physics and Engineering. 3rd edn. Cambridge University Press.CrossRefGoogle Scholar
Roe, Byron P. 2001. Probability and Statistics in Experimental Physics. Springer.CrossRefGoogle Scholar
Saito, Mutsuo, and Matsumoto, Makoto. 2007. www.math.sci.hiroshimau.ac.jp/m-mat/MT/emt.html.
Sakurai, J. J. 1982. Advanced Quantum Mechanics. 1st edn. Addison Wesley. Pages 62–63.Google Scholar
Scherk, Joël, and Schwarz, John H. 1974. Dual models for non-hadrons. Nucl. Phys., B81, 118.CrossRefGoogle Scholar
Schmitt, Lothar M. 2001. Theory of genetic algorithms. Theoretical Computer Science, 259, 1–61.CrossRefGoogle Scholar
Schutz, Bernard. 1980. Geometrical Methods of Mathematical Physics. Cambridge University Press.CrossRefGoogle Scholar
Schwinger, Julian, Deraad, Lester, Milton, Kimball A., and Tsai, Wu-yang. 1998. Classical Electrodynamics. Westview Press.Google Scholar
Smirnov, N. V. 1939. Estimation of the deviation between empirical distribution curves for two independent random samples. Bull. Moscow State Univ., 2(2), 3–14.Google Scholar
Srednicki, Mark. 2007. Quantum Field Theory. Cambridge University Press.CrossRefGoogle Scholar
Stakgold, Ivar. 1967. Boundary Value Problems of Mathematical Physics, Vol. I. Macmillan.Google Scholar
Steinberg, A. M., Kwiat, P. G., and Chiao, R. Y. 1993. Measurement of the singlephoton tunneling time. Phys. Rev. Lett., 71(5), 708–711.CrossRefGoogle Scholar
Stenner, Michael D., Gauthier, Daniel J., and Neifeld, Mark A. 2003. The speed of information in a ‘fast-light’ optical medium. Nature, 425, 695–698.CrossRefGoogle Scholar
Titulaer, U. M., and Glauber, R. J. 1965. Correlation functions for coherent fields. Phys. Rev., 140(3B), B676–682.CrossRefGoogle Scholar
Veneziano, Gabriel. 1968. Construction of a crossing-symmetric Regge-behaved amplitude for linearly rising regge trajectories. Nuovo Cim., 57A, 190.CrossRefGoogle Scholar
von Foerster, Heinz, Mora, Patricia M., and Amiot, Lawrence W. 1960. Doomsday: Friday, 13 November, A.D. 2026. Science, 132, 1291–1295.CrossRefGoogle Scholar
Vose, Michael D. 1999. The Simple Genetic Algorithm: Foundations and Theory. MIT Press.Google Scholar
Wang, Yun-ping and Zhang, Dian-lin. 1995. Reshaping, path uncertainty, and superluminal traveling. Phys. Rev. A, 52(4), 2597–2600.Google Scholar
Watson, George Neville. 1995. A Treatise on the Theory of Bessel Functions. Cambridge University Press.Google Scholar
Waxman, David and Peck, Joel R. 1998. Pleiotropy and the preservation of perfection. Science, 279.CrossRefGoogle ScholarPubMed
Weinberg, Steven. 1972. Gravitation and Cosmology. John Wiley & Sons.Google Scholar
Weinberg, Steven. 1988. The First Three Minutes. Basic Books.Google Scholar
Weinberg, Steven. 1995. The Quantum Theory of Fields. Vol. I: Foundations. Cambridge University Press.CrossRefGoogle Scholar
Weinberg, Steven. 1996. The Quantum Theory of Fields. Vol. II: Modern applications. Cambridge University Press.CrossRefGoogle Scholar
Weinberg, Steven. 2005. The Quantum Theory of Fields. Vol. III: Supersymmetry. Cambridge University Press.Google Scholar
Weinberg, Steven. 2010. Cosmology. Oxford University Press.Google Scholar
Whittaker, E. T. and Watson, G. N. 1927. A Course of Modern Analysis. 4th edn. Cambridge University Press.Google Scholar
Wright, Ned. 2006. A cosmology calculator for the World Wide Web. Publ. Astron. Soc. Pacific, 118(850), 1711–1715. www.astro.ucla.edu/wright/CosmoCalc.html.CrossRefGoogle Scholar
Zee, Anthony. 2010. Quantum Field Theory in a Nutshell. 2nd edn. Princeton University Press.Google Scholar
Zwiebach, Barton. 2009. A First Course in String Theory. 2nd edn. Cambridge University Press.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • Kevin Cahill, University of New Mexico
  • Book: Physical Mathematics
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511793738.021
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • Kevin Cahill, University of New Mexico
  • Book: Physical Mathematics
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511793738.021
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • Kevin Cahill, University of New Mexico
  • Book: Physical Mathematics
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511793738.021
Available formats
×