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Real Integral Solution in term of Classical Path for a Diffusion Model with Quadratic Potential in One-dimensional Euclidean Space

Shaharir bin Mohamad Zain, and Zainal bin Abdul Aziz, (1995) Real Integral Solution in term of Classical Path for a Diffusion Model with Quadratic Potential in One-dimensional Euclidean Space. Jurnal Fizik Malaysia, 16 (3). pp. 89-104. ISSN 0128-0333

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Affiliations

Universiti Kebangsaan Malaysia. Jabatan Matematik.["lib/metafield:join_corp_creators" not defined]Universiti Teknologi Malaysia. Jabatan Matematik.

Abstract

For the generalised diffusion equation with a quadratic potential, we obtain the real integral solution in term of the classical path as such that the validity of the Feynman integral solution is further verified. This result further unifies the diffusion equation with that of Schroedinger’s, and adds better insights into the problem of identifying the underlying stochastic process of the generalised diffusion, including the Schroedinger equation.

Item Type:Journal
Additional Information:This note was added by the search_and_modify.pl script.
Subjects:Q Science, Computer Science
ID Code:3664

1. R.P. Feynman, Rev. Mod. Phys. 20, 367 (1948).

2. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York (1965).

3. Shaharir b. M.Z., Int. Jour. Theor. Phys. 10, 1075 (1986).

4. M. Nagasawa, Schroedinger Equations and Diffusion Theory, Birkhauser Verlag, Basel (1993).

5. T. Hida, H-H. Kuo, J. Porthoff and L. Streit, White Noise. An infinite dimensional calculus, Kluwer Acad. Press, Dordrecth (1993).

6. G. Kallianpur, D. Kannan and R.L. Karandikar, Ann. Inst. Henri Poincare’ 21, 323 (1985).

7. D.C. Khandekar and S.V. Lawande, Phys. Rep. 137, 115 (1986).

8. Ph. Blanchard, Ph. Combe and W. Zheng, Mathematical and Physical Aspects of Stochastic Mechanics, Lect. Notes in Phy. 281, Springer-Verlage, Berlin (1987).

9. M. Kac, Probability and Related Topics in Physical Sciences, Interscience Pub., Reading (1959).

10. M. Kac, Integration in Function Space and Some of its Application, Pisa (1980).

11. T. Hida, Physica. 124 A, 399 (1984).

12. Shaharir b. M.Z., Jurnal Fizik Malaysia. 16, 1 (1995).

13. Shaharir b. M.Z. and Zainal b. A.A., Prosiding Simposium Sains Matematik Kebangsaan, 254-260 (1994).

14. Shaharir b. M.Z. and Zainal b. A.A., Prosiding Seminar Siswazah FSMX, eds. Aziz b. D. et al, UKM, Bangi, 27-38 (1994).

15. Shaharir b. M.Z. and Zainal b. A.A., Sains Malaysiana 25, 111 (1996).

16. M. Carreau, E. Farhi, S. Gutmann and P.F. Mende, Annals of Phys. 204, 186 (1990).

17. T. Hida, Brownian Motion, Springer-Verlag, New York (1980).

18. K. Ito and H.P. Mckean Jr., Diffusion Processes and their Sample Paths, Springer-Verlag, Berlin (1974).

19. F.W. Wiegel, Introduction to Path-Integral Methods in Physics and Polymer Physics, World Scientific, Singapore (1986).

20. Y. Choquet-Bruhat, C. Dewitt-Morette and M. Dillard-Bleick, Analysis, Manifolds and Physics, North Holland Pub., Amsterdam (1977).

21. Shaharir b. M.Z., Sains Malaysiana 16, 397 (1987).

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