Abstract
The use of determinants and their expansions for various physical problems is advocated.
This paper is dedicated to Professor Elliott Montroll on the ocassion of his sixtieth birthday.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Bender and T.T. Wu, Phys. Rev., 184, 1231 (1969), Phys. Rev., D7 1620 (1973), T. Banks, C. Bender and T.T. Wu, ibid., D8, 3346 (1973).
C. Bender and T.T. Wu, Phys. Rev., 184, 1231 (1969), Phys. Rev., D7 1620 (1973), T. Banks, C. Bender and T.T. Wu, ibid., D8, 3346 (1973).
J. Dyson, Phys. Rev., 85, 631 (1952)
B. Simon, Ann. Phys., 58, 76 (1970), J. Loeffel, A. Martin, B. Simon and A. Wightman, Phys. Lett., 30B, 656 (1969).
F.T. Hioe and E.W. Montroll, J. Math. Phys., 16, 1945 (1975), F.T. Hioe, D. MacMillen and E.W. Montroll, ibid., 17, 1320 (1976), F.T. Hioe, Phys. Rev., D15, 488 (1977).
A. C. Aitken, “Determinants and Matrices”, (Oliver and Boyd, London, 1962), p. 10/.
E. C. Titchmarsh, “Eigenfunction Expansions”, (Oxford University Press, London 1962), Part I, p. 151.
See for example, W. Pogorzelski: “Integral Equations and Their Applications”, ( Pergamon Press, 1966 ), Vol. I.
R. Jost and A. Pais, Phys. Rev., 82, 840 (1951).
See also E. W. Montroll and B. J. West, J. Stat. Phys., 13, 17 (1975), and in press.
See for example, E. W. Montroll, Suppl. Nuovo Cimento, Rendiconti della Scuola Internazionale di Fisica “Enrico Fermi” Corso X (1959), p. 217.
E.W. Montroll and J.C. Ward, Physics of Fluids, 1, 55 (1958), E.W. Montroll in “Lectures in Statistical Mechanics” edited by G.E. Uhlenbech and G.W. Ford, Amer. Math. Soc.,1963.
See for example, S. S. Schweber, H. A. Bethe and F. DeHoffman, “Mesons and Fields”, (Row, Peterson and Co., Evanston, 1955), Vol. I, p. 58.
The discrete analogue of this formula is useful in the defects problem in lattice dynamics.
Details will be published elsewhere.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1977 Plenum Press, New York
About this chapter
Cite this chapter
Hioe, F.T. (1977). On the Use of Determinants and their Expansions for Various Physical Problems. In: Landman, U. (eds) Statistical Mechanics and Statistical Methods in Theory and Application. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-4166-6_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-4166-6_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-4168-0
Online ISBN: 978-1-4613-4166-6
eBook Packages: Springer Book Archive