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Spectral functions from the real-time functional renormalization group [PDF]

Physical Review D, 2020
Hülsmann S, Schlichting S, Scior P. Spectral functions from the real-time functional renormalization group. Physical Review D . 2020;102(9): 096004.We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to ...
Soren Schlichting, Philipp Scior
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Real-Time Equation-of-Motion CCSD Cumulant Green’s Function

Journal of Chemical Theory and Computation, 2022
Many-body excitations in X-ray photoemission spectra have been difficult to simulate from first principles. We have recently developed a cumulant-based one-electron Green's function method using the real-time coupled-cluster-singles equation-of-motion approach (RT-EOM-CCS) that provides a general framework for treating these problems.
F. D. Vila, K. Kowalski, B. Peng, J. J. Kas, J. J. Rehr   +4 more
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REAL THETA-FUNCTION SOLUTIONS OF THE KADOMTSEV–PETVIASHVILI EQUATION

Mathematics of the USSR-Izvestiya, 1989
This paper is devoted to the problem of extracting the smooth real solutions of the Kadomtsev-Petviashvili equation from the class of quasi- periodic complex meromorphic solutions constructed by I. M. Krichever. Necessary and sufficient conditions for smoothness and reality of the solutions are found.
Dubrovin, Boris, Natanzon, Sergei
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Functional equation of Dhombres type in the real case

Publicationes Mathematicae Debrecen, 2011
We consider continuous solutions f : R+ ! R+ = (0,1) of the functional equation f(xf(x)) = o(f(x)) where o is a given continuous map R+ ! R+. If o is an increasing homeomorphism the solutions are completely described, if not there are only partial results. In this paper we bring some necessary conditions upon a possible range Rf .
LUDWIG REICH, JAROSLAV SMITAL, MARTA STEFANKOVA   +2 more
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Satisfiability of Systems of Equations of Real Analytic Functions Is Quasi-decidable

2011
In this paper we consider the problem of checking whether a system of equations of real analytic functions is satisfiable, that is, whether it has a solution. We prove that there is an algorithm (possibly non-terminating) for this problem such that (1) whenever it terminates, it computes a correct answer, and (2) it always terminates when the input is ...
Franek, P. (Peter), Ratschan, S. (Stefan), Zgliczynski, P.   +2 more
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Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

Ukrainian Mathematical Journal, 2019
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Abdullayev, F. G., Bushev, D. M., Kyzy, M. Imash, Kharkevych, Yu. I.   +3 more
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Integral Equations on Function Spaces and Dichotomy on the Real Line

Integral Equations and Operator Theory, 2006
The purpose of this paper is to give new and general characterizations for uniform dichotomy and uniform exponential dichotomy of evolution families on the real line. We consider two general classes denoted \( {\user1{\mathcal{T}}}({\user2{\mathbb{R}}}) \) and \( {\user1{\mathcal{H}}}({\user2{\mathbb{R}}}) \) and we prove that if V,W are Banach ...
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Functional equations of real analytic Jacobi Eisenstein series

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2019
We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree m and matrix index T in case T is a kernel form.
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Elliptic partial differential equationsfor real analytic functions

Mathematische Zeitschrift, 2000
The problem of existence of a continuous linear right inverse operator for a given partial differential operators is studied. Suppose \(K\subset\mathbb{R}^N\) is a compact convex set with nonempty interior, \(\partial K\) is the boundary of \(K,\) \(A(K)\) is the space of all real analytic functions on \(K\) and the partial differential operator \(P(D):
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Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions

Functional Analysis and Its Applications, 1985
The XYZ Landau-Lifshitz (L-L) equation \[ S_ t=S\times S_{xx}+S\times JS,\quad | S| =1,\quad J=diag(J_ 1,J_ 2,J_ 3) \] is a compatibility condition for the set of two linear equations \[ \psi_ x=U(u)\psi,\quad \psi_ t=V(u)\psi \to U_ t-V_ x+[U,V]=0, \] where the spectral parameter U is a point on an elliptic curve T, and U,V are the (2\(\times 2 ...
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