Non-perturbative Quantum Dynamics of the Order Parameter in the Pairing Model
We consider quantum dynamics of the order parameter in the discrete pairing model (Richardson model) in thermodynamic equilibrium. The integrable Richardson Hamiltonian is represented as a direct sum of Hamiltonians acting in different Hilbert spaces of ...
A. Altland +9 more
core +1 more source
Self-Consistent Approximations to Non-Equilibrium Many-Body Theory [PDF]
Within the non-equilibrium Green's function technique on the real time contour, the Phi-functional method of Baym is reviewed and generalized to arbitrary non-equilibrium many-particle systems.
Abraham-Ibrahim +74 more
core +3 more sources
Parter, Periodic and Coperiodic Functions on Groups and their Characterization
Decomposer functional equations were introduced by the author and have been completely solved on arbitrary groups. Their solutions are as decomposer functions and play important role regarding to decomposition (factorization) of groups by their two ...
M. H. Hooshmand
doaj
The history of the concept of function and some educational implications [PDF]
Several fields of mathematics deal directly or indirectly with functions: mathematical analysis considers functions of one, two, or n variables, studying their properties as well as those of their derivatives; the theories of differential and integral ...
Ponte, João Pedro da
core
Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local counter-terms defined at the vacuum level.
A. F. Bielajew +25 more
core +1 more source
Varieties via their L-functions
We describe a procedure for determining the existence, or non-existence, of an algebraic variety of a given conductor via an analytic calculation involving L-functions.
Farmer, David W. +2 more
core +1 more source
Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field [PDF]
arXiv admin note: text overlap with arXiv:1302 ...
openaire +2 more sources
Synthesis of evasive maneuver control of unmanned aerial vehicle for terminal restrictions
Introduction. The solution to the problem of development of suboptimal evasive strategy of unmanned aerial vehicle (UAV) under the conditions of uncertainty of the current motion characteristics, and the future behavior strategy of the interdictor is ...
N. Y. Polovinchuk +2 more
doaj +1 more source
Solving functional equations with computer [PDF]
In this paper we deal with the linear two variable functional equation ℎ_0(x,y)f_0(g_0(x,y))+⋅⋅⋅+ℎ_n(x,y)f_n(g_n(x,y))=F(x,y) where n is a positive integer, g_0, g_1,..., g_n, h_0,ℎ_1,...,ℎ_n and F are given real valued analytic functions on an open ...
Házy, Attila
core
On the numerical evaluation of algebro-geometric solutions to integrable equations
Physically meaningful periodic solutions to certain integrable partial differential equations are given in terms of multi-dimensional theta functions associated to real Riemann surfaces.
Belokolos E +18 more
core +2 more sources

