A Note on the Unification of the Classical Orthogonal Polynomials
. Nielsen and L.L. Chuang , Quantum Computation and Quantum Information , Cambridge Univ. Press, Cambridge ( 2000 ) [4] P. W. Shor , Commun. Math. Phys. 246 , 453 ( 2004 ) [5] A. K. Rajagopal , Phys. Rev. A ... 60 , 4338 ( 1999 ) [6] S. Abe and A. K. Rajagopal , Phys. Rev. A 60 , 3461 ( 1999 ) [7] A. K. Rajagopal and S. Abe , Phys. Rev. Lett . 83 , 1711 ( 1999 ) [8] S. Abe and A. K. Rajagopal , Physica. A 289
. Nielsen and L.L. Chuang , Quantum Computation and Quantum Information , Cambridge Univ. Press, Cambridge ( 2000 ) [4] P. W. Shor , Commun. Math. Phys. 246 , 453 ( 2004 ) [5] A. K. Rajagopal , Phys. Rev. A ... 60 , 4338 ( 1999 ) [6] S. Abe and A. K. Rajagopal , Phys. Rev. A 60 , 3461 ( 1999 ) [7] A. K. Rajagopal and S. Abe , Phys. Rev. Lett . 83 , 1711 ( 1999 ) [8] S. Abe and A. K. Rajagopal , Physica. A 289
be obtained from http://tsallis.cat.cbpf.br/biblio.htm [4] A. K. Rajagopal, R. S. Mendes, and E. K. Lenzi, Phys. Rev. Lett. 80, 3907 (1998). [ Links ]See also an expanded version of this work ... by E. K. Lenzi, R. S. Mendes, and A. K. Rajagopal, Phys. Rev. E 59, 1398 (1999). [ Links ][5] E. T. Jaynes: Papers on Probabilty, Statistics, and Statistical Physics, edited by R. D
be obtained from http://tsallis.cat.cbpf.br/biblio.htm [4] A. K. Rajagopal, R. S. Mendes, and E. K. Lenzi, Phys. Rev. Lett. 80, 3907 (1998). [ Links ]See also an expanded version of this work ... by E. K. Lenzi, R. S. Mendes, and A. K. Rajagopal, Phys. Rev. E 59, 1398 (1999). [ Links ][5] E. T. Jaynes: Papers on Probabilty, Statistics, and Statistical Physics, edited by R. D
In our previour paper with the above title an equation of motion for the electron-positron pair was derived with some approximations; here a modified equation for the pair is derived. This has the feature that in “RPA” the “reduced vertex functions” appear in a symmetrical way. We also derive an expression for the positron self-energy and explicitly show that the electron...
p. 814: The last term of Eq. (13b) should read instead of p. 815 : The last part of Eq. (16) should read instead of p. 816 : Equation (19) should read
numerically evaluated in such a way as not to depend on model interatomic potentials and is found only to be in fair agreement with experimental result. - G. S. Crest and A. K. Rajagopal 2: Rayleigh ... iG) to order (1/N), + 3[ra(k, k2)rd(k, k2) +rc(k, k2)rb(k, k2)] J 2EB(k) [EB(k) +EB(k2) +EB(k+k2)] G. S. Crest and A K. Rajagopal S(k)~k/c, as k~o, then from (17) 1/c= 1/s+1-- :E' k22J.%,(1-1/J.i,Y
A. K. RAJAGOPAL 0 C. K. MAJUMDAR 0 0 Tata Institute of Fundamental Research , Bombay , India A system of interacting positrons, electrons and phonons is studied to find out the role played by the
A two-body bound state equation for a positron and an electron in an interacting electron gas is rederived, using a Green's function decoupling scheme and various approximations required to define a bound state are explained. The equation has some new features not discussed before, and the solution rules out the formation of positronium-like state at metallic densities. But the...
Recent experiments on the spin flip scattering of conduction electrons by nonmagnetic impurities in certain metals have established that the scattering cross section does not increase monotonically with the charge (valence) of the impurity. It is suggested here that this may be due to a “resonant scattering” of the electron by the impurity potential (the term ‘resonant’ being...
