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Advances in Physical Chemistry
Volume 2014 (2014), Article ID 912054, 9 pages
http://dx.doi.org/10.1155/2014/912054
Research Article

Evaluation of Density Matrix and Helmholtz Free Energy for Harmonic Oscillator Asymmetric Potential via Feynmans Approach

1Chemistry Division, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
2Physics Division, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand

Received 18 August 2014; Revised 8 October 2014; Accepted 9 October 2014; Published 2 November 2014

Academic Editor: Miquel Solà

Copyright © 2014 Piyarut Moonsri and Artit Hutem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. H. March and A. M. Murray, “Relation between Dirac and canonical density matrices, with applications to imperfections in metals,” Physical Review Letters, vol. 120, no. 3, pp. 830–836, 1960. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. I. A. Howard, A. Minguzzi, N. H. March, and M. Tosi, “Slater sum for the one-dimensional sech2 potential in relation to the kinetic energy density,” Journal of Mathematical Physics, vol. 45, no. 6, pp. 2411–2419, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. N. H. March and L. M. Nieto, “Bloch equation for the canonical density matrix in terms of its diagonal element: the Slater sum,” Physics Letters A: General, Atomic and Solid State Physics, vol. 373, no. 18-19, pp. 1691–1692, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. R. K. Pathria, Statistical Mechanics, Butterworth Heinemann, Oxford, UK, 1996.
  5. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, Elsevier Academic Press, New York, NY, USA, 6th edition, 2005.
  6. K. F. Riley and M. P. Hobson, Mathematical Method for Physics and Engineering, Cambridge University Press, 3rd edition, 2006.
  7. R. P. Feynman, Statistical Mechanics, Addison-Wesley, London, UK, 1972.
  8. I. N. Levin, Quantum Chemistry, Pearson Prentice Hall, 6th edition, 2009.
  9. R. L. Zimmerman and F. I. Olness, Mathematica for Physics, Addison-Wesley, Reading, Mass, USA, 2nd edition, 2002.
  10. A. Hutem and S. Boonchui, “Numerical evaluation of second and third virial coefficients of some inert gases via classical cluster expansion,” Journal of Mathematical Chemistry, vol. 50, no. 5, pp. 1262–1276, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus