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Browsing ARS - 2010 by Author "Piyadasa, R.A.D."

Browsing ARS - 2010 by Author "Piyadasa, R.A.D."

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  • Effect of a long-ranged part of potential on elastic S-matrix element 
    Shadini, A.M.D.M.; Piyadasa, R.A.D.; Munasinghe, J. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    It has been found that quantum mechanical three-body Schrödinger equation can be reduced to a set of coupled differential equations when the projectile can be easily breakable into two fragments when it is scattering on ...
  • The Equality of Schrödinger’s Theory and Heisenberg’s S-matrix Theory 
    Silva, H. I. R. U.; Piyadasa, R.A.D. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    It is well known that the Schrödinger’s equation can be solved in few cases of physical importance [1] . Nevertheless, S-matrix theory can be used in general to describe physically important variables such as differential ...
  • Method of Infinite Descent and proof of Fermat's last theorem for n = 3 
    Piyadasa, R.A.D. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    The first proof of Fermat’s last theorem for the exponent n  3 was given by Leonard Euler using the famous mathematical tool of Fermat called the method of infinite decent. However, Euler did not establish in full the ...
  • A simple analytical proof of Fermat’s last theorem for n = 7 
    Piyadasa, R.A.D. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    It is well known that proof of Fermat’s last theorem for any odd prime is difficult and first proof for n  7 was given by Lame [1] ,and Kumar also has given a proof for a special class of primes (Regular primes)which ...
  • A simple and short proof of Fermat’s last theorem for n = 3 
    Shadini, A.M.D.M.; Piyadasa, R.A.D. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    The first proof of Fermat’s last theorem for the exponent n  3 was given by Leonard Euler. However, Euler did not establish in full the key lemma required in the proof [1]. Since then, several authors have published ...
  • Simple proof of Fermat’s last theorem for n =11 
    Shadini, A.M.D.M.; Piyadasa, R.A.D. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    Proof of Fermat’s last theorem for any odd prime is difficult. It may be extremely difficult to generalize any available Proof of Fermat’s last theorem for small prime such as n  3,5,7 to n 11[1]. The prime n 11 is ...
  • Useful identities in finding a simple proof for Fermat’s last theorem 
    Piyadasa, R.A.D.; Shadini, A.M.D.M.; Perera, B.B.U.P. (Research Symposium 2010 - Faculty of Graduate Studies, University of Kelaniya, 2010)
    Fermat’s last theorem, very famous and difficult theorem in mathematics, has been proved by Andrew Wiles and Taylor in 1995 after 358 years later the theorem was stated However, their proof is extremely difficult and ...

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