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Penyelesaian Kamiran Nyata Bagi Persamaan Resapan Kompleks Berpotensi Kuadratik Teritlak Kompleks

Shaharir Mohamad Zain, (1997) Penyelesaian Kamiran Nyata Bagi Persamaan Resapan Kompleks Berpotensi Kuadratik Teritlak Kompleks. Matematika, 13 (2). pp. 29-40. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/199713204.pdf

Affiliations

Universiti Kebangsaan Malaysia, Faculty of Mathematical Sciences, Dept. of Mathematics

Abstract

We obtain solution of a complex diffusion equation with generalised complex quadratic potential, via method of analytical mechanics. The real integral solution conforms to the idea of the Feynman path integral.

Item Type:Journal
Additional Information:This note was added by the search_and_modify.pl script.
Keywords:Complex diffusion equation, Feynman path integral, generalised complex quadratic potential, real integral solution, Green function
Subjects:Q Science, Computer Science
ID Code:5507

[1] H.H. Andersen, M. Højbjerre, D. Sorensen & P.S. Eriksen, Linear and graphical models for the multivariate complex normal distribution, Springer-Verlag, New York 1995.

[2] R.P. Feynman, Space-time approach to non-relativistic quantum mechanics, Rev. Of Mod. Phys. 20 (1948), 367-387.

[3] R.P. Feynman & A.R. Hibbs, Quantum mechanics and path integrals, McGraw-Hill, New York, 1965.

[4] D.T. Finbeiner II, Introduction to matrices and linear transformations, W.H. Freeman, New York, 1966.

[5] H. Goldstein, Classical mechanics. Edisi kedua, Addison-Wesley Pub., Reading, 1980.

[6] J.F.C. Kingman & S.J. Taylor, Introduction to measure and probability, Cambridge univ. Press, 1966.

[7] M. Nagasawa, Schr¨odinger equations and diffusion theory, Birkhauser Verlag, Basel, 1993.

[8] V.V. Prasolov, Problems and theorems in linear algebra American Mathematical Soc., Providence, 1989.

[9] M.Z. Shaharir, On complex normal distribution, Sains Malaysiana, 16, (1987), 397- 408.

[10] M.Z. Shaharir & A.A. Zainal, On the exact integral solution of the generalised linear diffusion equation, Sing. J. Phys. 11 (1995), 81-91.

[11] M.Z. Shaharir & A.A. Zainal, Real integral solution in term of classical path for a diffusion model with quadratic potential in one-dimensional Euclidean space, Jurnal Fizik Malaysia. 16 (1995), 43-58.

[12] A.A. Zainal, Penyelesaian persamaan resapan kompleks yang sesuai dengan gagasan kamiran lintasan Feynman, Tesis Dr. Fal., Jab. Matematik, UKM, Bangi, 1997.

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