Another Formulation of the Wick's Theorem. Farewell, Pairing?
The algebraic formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov, Igor V.
core +2 more sources
Analytical formula for numerical evaluations of the Wigner rotation matrices at high spins [PDF]
The Wigner d function, which is the essential part of an irreducible representation of SU(2) and SO(3) parameterized with Euler angles, has been know to suffer from a serious numerical errors at high spins, if it is calculated by means of the Wigner ...
66501, Tajima, Naoki
core +2 more sources
Effects of edges in spin-1/2 bond-alternating Heisenberg chains: Matrix-product variational approach
We make a matrix-product variational approach to spin-1/2 ferromagnetic-antiferromagnetic bond-alternating chains with anisotropy on their ferromagnetic bonds, especially under the open boundary condition.
Affleck +47 more
core +1 more source
SecDec: A general program for sector decomposition
We present a program for the numerical evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using iterated sector decomposition.
Anastasiou +75 more
core +1 more source
Generating and using truly random quantum states in Mathematica
The problem of generating random quantum states is of a great interest from the quantum information theory point of view. In this paper we present a package for Mathematica computing system harnessing a specific piece of hardware, namely Quantis quantum ...
Al Osipov +22 more
core +1 more source
The FermiFab Toolbox for Fermionic Many-Particle Quantum Systems
This paper introduces the FermiFab toolbox for many-particle quantum systems. It is mainly concerned with the representation of (symbolic) fermionic wavefunctions and the calculation of corresponding reduced density matrices (RDMs).
Anderson +17 more
core +1 more source
On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J +29 more
core +1 more source
A genus six cyclic tetragonal reduction of the Benney equations [PDF]
A reduction of Benney’s equations is constructed corresponding to Schwartz–Christoffel maps associated with a family of genus six cyclic tetragonal curves.
England, M., Gibbons, J.
core +2 more sources
On the nonexistence of conformally flat slices in the Kerr and other stationary spacetimes
It is proved that a stationary solutions to the vacuum Einstein field equations with non-vanishing angular momentum have no Cauchy slice that is maximal, conformally flat, and non-boosted.
E. T. Newman +3 more
core +1 more source
Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
A new algorithm is presented to find exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems with parameters, the algorithm determines the conditions on the parameters so that the equations might admit ...
Ablowitz +52 more
core +1 more source

