1 citations · 1 across the 6 of their papers we have counts for
8 papers
Eigenvector Varieties
Sandra Di Rocco, Bernd Sturmfels, Svala Sverrisdóttir
Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvec…
Algebraic Geometry for Spin-Adapted Coupled Cluster Theory
Fabian M. Faulstich, Svala Sverrisdóttir
We develop and numerically analyze an algebraic-geometric framework for spin-adapted coupled-cluster (CC) theory. Since the electronic Hamiltonian is SU(2)-invariant, physically re…
Plane partitions and spin adapted quantum states
Abigail Price, Ada Stelzer, Svala Sverrisdóttir
We describe an explicit basis for the -invariant space of the exterior power via the combinatorics of plane partitions. In quant…
Algebraic Varieties in Second Quantization
Svala Sverrisdóttir
We develop an algebraic geometric framework for Fock space coupled cluster theory in second quantization. In quantum chemistry, many-electron states are represented as elements of…
Gram Matrices for Isotropic Vectors
Yassine El Maazouz, Bernd Sturmfels, Svala Sverrisdóttir
We investigate determinantal varieties for symmetric matrices that have zero blocks along the main diagonal. In theoretical physics, these arise as Gram matrices for kinematic vari…
Kinematic Varieties for Massless Particles
Smita Rajan, Svala Sverrisdóttir, Bernd Sturmfels
We study algebraic varieties that encode the kinematic data for massless particles in -dimensional spacetime subject to momentum conservation. Their coordinates are spinor b…
Coupled Cluster Degree of the Grassmannian
Viktoriia Borovik, Bernd Sturmfels, Svala Sverrisdóttir
We determine the number of complex solutions to a nonlinear eigenvalue problem on the Grassmannian in its Plücker embedding. This is motivated by quantum chemistry, where it repres…
Four-Dimensional Lie Algebras Revisited
Laurent Manivel, Bernd Sturmfels, Svala Sverrisdóttir
The projective variety of Lie algebra structures on a 4-dimensional vector space has four irreducible components of dimension 11. We compute their prime ideals in the polynomial ri…