Results 31 to 40 of about 458 (100)

Calculation of master integrals by difference equations [PDF]

, 2001
In this paper we describe a new method of calculation of master integrals based on the solution of systems of difference equations in one variable. An explicit example is given, and the generalization to arbitrary diagrams is described.
Laporta, S.
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Number of states with fixed angular momentum for identical fermions and bosons

, 2003
We present in this paper empirical formulas for the number of angular momentum I states for three and four identical fermions or bosons. In the cases with large I we prove that the number of states with the same ${\cal M}$ and n but different J is ...
A. Arima, A. de-Shalit, D. K. Sunko, D. Mulhall, J. Katriel, J. Katriel, J. N. Ginocchio, P. Ring, R. D. Lawson, Y. M. Zhao   +9 more
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Feynman integrals with tensorial structure in the negative dimensional integration scheme [PDF]

, 1999
Negative dimensional integration method (NDIM) is revealing itself as a very useful technique for computing Feynman integrals, massless and/or massive, covariant and non-covariant alike.
Schmidt, A. G. M., Suzuki, A. T.
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Singularites in the Bousseneq equation and in the generalized KdV equation

, 2001
In this paper, two kinds of the exact singular solutions are obtained by the improved homogeneous balance (HB) method and a nonlinear transformation. The two exact solutions show that special singular wave patterns exists in the classical model of some ...
A. C. Newell, A. Yu. Kamenshhik, Akira Nakamura, B. J. Gluckman, B. P. Luce, C. R. Doering, C. S. Gardner, D. Bazeia, G. B. Whitham, J. Bonssinesq, J. Eggers, J. Weiss, K. R. Sreenivasan, L. M. Hocking, L. Yang, M. Adler, M. J. Ablowitz, M. J. Landman, M. P. Brenner, M. S. Longuet-Higgins, M. Wang, N. B. Tufillaro, P. G. Drazin, P. Rosenau, P. Rosenau, R. Hirota, U. Frisch, V. I. Karpman, V. I. Karpman, V. M. Galkin, Yang Kongqing, Yang Lei   +31 more
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Binary Nonlinearization of the Super Akns System Under an Implicit Symmetry Constraint [PDF]

, 2009
For the super AKNS system, an implicit symmetry constraint between the potentials and the eigenfunctions is proposed. After introducing some new variables to explicitly express potentials, the super AKNS system is decomposed into two compatible finite ...
Han, Jingwei, He, Jingsong, Yu, Jing
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New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case

, 2009
As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) by employing the formula of operators' Weyl ordering expansion and the bipartite entangled state representation we find new two-fold complex integration transformation about the Wigner
Fan H Y, Fan H Y, Fan H Y, Fan H Y, Fan Hong-Yi, Hu L Y, Meng X G, Yuan Hong-Chun   +7 more
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Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators

, 2007
One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the successive applications of the sum or product operators on several values
Abe, Alexandre Souto Martinez, Boon, Borges, Borges, César Augusto Sangaletti Terçariol, Kalogeropoulos, Kaniadakis, Kaniadakis, Kaniadakis, Kaniadakis, Montroll, Montroll, Nivanen, Rodrigo Silva González, Suyari, Tiago José Arruda, Tsallis, Tsallis, Tsallis, Tsallis, Tsallis   +21 more
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An easy way to solve two-loop vertex integrals

, 1997
Negative dimensional integration is a step further dimensional regularization ideas. In this approach, based on the principle of analytic continuation, Feynman integrals are polynomial ones and for this reason very simple to handle, contrary to the usual
A. Frink, A.I. Davydychev, A.I. Davydychev, A.T. Suzuki, Alexandre G. M. Schmidt, Alfredo T. Suzuki, C.G. Bollini, E.E. Boos, G. Kramer, G. ’t Hooft, G.V. Dunne, I.G. Halliday, J. Fleischer, K.G. Chetyrkin, R.J. Gonsalves, W.L. van Neerven   +15 more
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Quasi-exactly solvable quartic potential [PDF]

, 1998
A new two-parameter family of quasi-exactly solvable quartic polynomial potentials $V(x)=-x^4+2iax^3+(a^2-2b)x^2+2i(ab-J)x$ is introduced. Until now, it was believed that the lowest-degree one-dimensional quasi-exactly solvable polynomial potential is ...
Additional references on non-Hermitian Hamiltonians may be found in Bender C M, Bender C M, Bender C M, Blencowe M P, Carl M Bender, González-López A, González-López A, Iachello F, See Ushveridze A G, Shifman M A, Shifman M A, Stefan Boettcher, Turbiner A V, Turbiner A V, Turbiner A V   +14 more
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A Covariant Information-Density Cutoff in Curved Space-Time

, 2003
In information theory, the link between continuous information and discrete information is established through well-known sampling theorems. Sampling theory explains, for example, how frequency-filtered music signals are reconstructible perfectly from ...
Kempf, Achim
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