Results 11 to 20 of about 2,531,275 (230)

On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations [PDF]

Opuscula Mathematica, 2015
Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine ...
Yoshitsugu Takei
doaj   +1 more source

Exact Solutions in Modified Gravity Models

Entropy, 2012
We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations. In this paper
Valery V. Obukhov, Andrey N. Makarenko
doaj   +1 more source

Graham's number stable digits: An exact solution [PDF]

Notes on Number Theory and Discrete Mathematics
In the decimal numeral system, we prove that the well-known Graham's number, G:=ⁿ3 (i.e., 3^{3^{...^{3}}} (n times)), and any base 3 tetration whose hyperexponent is larger than n share the same slog₃(G)-1 rightmost digits (where slog indicates the ...
Marco Ripà
doaj   +1 more source

Exact solution of the Φ23 finite matrix model

Nuclear Physics B, 2022
We find the exact solutions of the Φ23 finite matrix model (Grosse-Wulkenhaar model). In the Φ23 finite matrix model, multipoint correlation functions are expressed as G|a11…aN11|…|a1B…aNBB|.
Naoyuki Kanomata, Akifumi Sako
doaj   +1 more source

Exact solution of the nuclear pairing problem [PDF]

, 2000
In many applications to finite Fermi-systems, the pairing problem has to be treated exactly. We suggest a numerical method of exact solution based on SU(2) quasispin algebras and demonstrate its simplicity and practicality.
Alexander Volya, Andreozzi, Andreozzi, Auerbach, B.Alex Brown, Bang, Bardeen, Barranco, Belyaev, Belyaev, Bogoliubov, Bogoliubov, Bohr, Broglia, Burglin, Capote, Chen, Das Gupta, Do Dang, Firestone, Goodman, Hagino, Hasegawa, Hjorth-Jensen, Hjorth-Jensen, Johns, Keller, Kerman, Lane, Lipkin, Machleidt, Molique, Nogami, Nogami, Pan, Racah, Racah, Richardson, Richardson, Richardson, Richter, Ring, Satula, Vladimir Zelevinsky   +43 more
core   +2 more sources

Exact solution of the Faddeev-Volkov model [PDF]

, 2007
The Faddeev-Volkov model is an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line.
Bazhanov, Vladimir V., Mangazeev, Vladimir V., Sergeev, Sergey M.   +2 more
core   +1 more source

Exact Solution and Exotic Fluid in Cosmology

Entropy, 2012
We investigate cosmological consequences of nonlinear sigma model coupled with a cosmological fluid which satisfies the continuity equation. The target space action is of the de Sitter type and is composed of four scalar fields.
Phillial Oh, Taeyoon Moon, Seyen Kouwn
doaj   +1 more source

Rashba coupling in quantum dots: exact solution [PDF]

, 2003
We present an analytic solution to the problem of the Rashba spin-orbit coupling in semiconductor quantum dots. We calculate the exact energy spectrum, wave-functions, and spin--flip relaxation times.
A. O. Gogolin, A. V. Khaetskii, E. I. Rashba, E. I. Rashba, E. Tsitsishvili, F. Bowman, G. E. Pikus, G. N. Watson, G. S. Lozano, L. D. Landau, L. Jacak, S. Bandyopadhyay, V. F. Gantmakher, Yu. A. Bychkov, Yu. A. Bychkov   +14 more
core   +2 more sources

Exact solution of the two-axis countertwisting Hamiltonian [PDF]

, 2016
It is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra.
Draayer, Jerry P., Pan, Feng, Zhang, Yao-Zhong   +2 more
core   +2 more sources

Exact solution of Schrodinger equation for Pseudoharmonic potential [PDF]

, 2007
Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms
A. Khare, A. Rajaki, A. Turbiner, A. Voros, A.F. Nikiforov, A.J. Sous, A.O. Barut, B.P. Mahapatra, C. Berkdemir, Cevdet Tezcan, D. Chelkak, F.L. Lu, G. Chen, G. Esposito, G. Herzberg, G.C. Maitland, H.A. Alhendi, J. Plieva, J.A. Yu, M. Jafapour, M. Karplus, M. Znojil, M.C. Zhang, M.L. Klein, M.S. Child, Metin Aktaş, N. Saad, R.S. Kaushal, Ramazan Sever, S. Bose, S.H. Dong, S.H. Dong, S.H. Dong, S.H. Dong, S.H. Dong, S.H. Dong, S.H. Dong, S.K. Maayedi, T. Barakat, Özlem Yeşiltaş   +39 more
core   +2 more sources