Jens Hoppe
YOU?
Author Swipe
View article: Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces Open
We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula …
View article: Quantum States from Minimal Surfaces
Quantum States from Minimal Surfaces Open
Apart from relating interesting quantum mechanical systems to equations describing a parabolic discrete minimal surface, the quantization of a cubic minimal surface in $\mathbb{R}^4$ is considered.
View article: Randomized low-rank decompositions of nuclear three-body interactions
Randomized low-rank decompositions of nuclear three-body interactions Open
First-principles simulations of many-fermion systems are commonly limited by the computational requirements of processing large data objects. As a remedy, we propose the use of low-rank approximations of three-body interactions, which are …
View article: Generating self-similar membrane solutions
Generating self-similar membrane solutions Open
Several ways to reduce to a first order ODE the non-linear PDE's governing the relativistic motion of an axially symmetric membrane in 4 space time dimensions, as well as examples for a previously found non-trivial transformation generatin…
View article: The fast non-commutative sharp drop
The fast non-commutative sharp drop Open
International audience
View article: Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions Open
First-principles simulations of many-fermion systems are commonly limited by the computational requirements of processing large data objects. As a remedy, we propose the use of low-rank approximations of three-body interactions, which are …
View article: The ground state of reduced Yang-Mills theory
The ground state of reduced Yang-Mills theory Open
For the simplest membrane matrix model (corresponding to reduced 3 dimensional SU(2) Yang Mills theory) the form of the ground state wave function is given.
View article: Classical dynamics of SU(2) matrix models
Classical dynamics of SU(2) matrix models Open
By direct, elementary, considerations it is shown that the SU(2) x SO(d=2,3) invariant sector of the bosonic membrane matrix model is governed by (two, resp. three-dimensional) x^2 y^2 models
View article: Gauge compensating transformations for boosted axially symmetric membranes and light cone reductions
Gauge compensating transformations for boosted axially symmetric membranes and light cone reductions Open
Some explicit examples are given for gauge compensating transformations and explicit forms of axially symmetric membrane solutions
View article: The fast non-commutative sharp drop
The fast non-commutative sharp drop Open
An exact GH membrane matrix model solution is given that corresponds to the world volume swept out by a fast moving axially symmetric drop with a sharp tip.
View article: Normal ordering of three-nucleon interactions for <i>ab initio</i> calculations of heavy nuclei
Normal ordering of three-nucleon interactions for <i>ab initio</i> calculations of heavy nuclei Open
Three-nucleon (3N) interactions are key for an accurate solution of the nuclear many-body problem. However, fully taking into account 3N forces constitutes a computational challenge and hence approximate treatments are commonly employed. T…
View article: Recent progress on Membrane Theory
Recent progress on Membrane Theory Open
Various lines of progress concerning relativistic extended objects are presented( including some insight concerning quite general supersymmetrizable theories )
View article: Generating Axially Symmetric Minimal Hyper-surfaces in R^{1,3}
Generating Axially Symmetric Minimal Hyper-surfaces in R^{1,3} Open
It is shown that, somewhat similar to the case of classical Baecklund transformations for surfaces of constant negative curvature, infinitely many axially symmetric minimal hypersurfaces in 4-dimensional Minkowski-space can be obtained, in…
View article: Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials
Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials Open
We revisit the stability (instability) of the outer (inner) catenoid connecting two concentric circular rings and give an explicit new construction of the unstable mode of the inner catenoid by studying the spectrum of an exactly solvable …
View article: Least-square approach for singular value decompositions of scattering problems
Least-square approach for singular value decompositions of scattering problems Open
It was recently observed that chiral two-body interactions can be efficiently\nrepresented using matrix factorization techniques such as the singular value\ndecomposition. However, the exploitation of these low-rank structures in a few-\no…
View article: Importance truncation for the in-medium similarity renormalization group
Importance truncation for the in-medium similarity renormalization group Open
Ab initio nuclear many-body frameworks require extensive computational\nresources, especially when targeting heavier nuclei. Importance-truncation (IT)\ntechniques allow to significantly reduce the dimensionality of the problem by\nneglect…
View article: Integrability in the dynamics of axially symmetric membranes
Integrability in the dynamics of axially symmetric membranes Open
Bäcklund-type transformations in four-dimensional space-time and an intriguing reduced zero-curvature formulation for axially symmetric membranes, with diffeomorphism-, resp. Lorentz-, symmetries reappearing after orthonormal gauge-fixing,…
View article: On some new types of membrane solutions
On some new types of membrane solutions Open
New classes of exact M(em)brane solutions in M+2 dimensional Minkowski space are presented (some describing non-trivial topology changes, while others explicitly avoid finite-time singularity formation)
View article: On the quantization of some polynomial minimal surfaces
On the quantization of some polynomial minimal surfaces Open
A class of exact membrane solutions is quantized.
View article: Exact algebraic M(em)brane solutions
Exact algebraic M(em)brane solutions Open
Three classes of new, algebraic, zero-mean-curvature hypersurfaces in pseudo-Euclidean spaces are given.
View article: Representations of Quantum Minimal Surface Algebrasvia Kac-Moody-theory
Representations of Quantum Minimal Surface Algebrasvia Kac-Moody-theory Open
We consider epimorphisms from quantum minimal surface algebras onto involutroy subalgebras of split real simply-laced Kac-Moody algebras and provide examples of affine and finite type. We also provide epimorphisms onto such Kac-Moody algeb…
View article: In-medium similarity renormalization group with three-body operators
In-medium similarity renormalization group with three-body operators Open
Over the past decade the in-medium similarity renormalization group (IMSRG)\napproach has proven to be a powerful and versatile ab initio many-body method\nfor studying medium-mass nuclei. So far, the IMSRG was limited to the\napproximatio…
View article: Composite dynamical symmetry of M-branes
Composite dynamical symmetry of M-branes Open
It is shown that the previously noticed internal dynamical $SO(D-1)$ symmetry arXiv:1003.5189 for relativistic M-branes moving in $D$-dimensional space-time is naturally realized in the (extended by powers of $\frac{1}{p_+}$) enveloping al…
View article: Commuting signs of infinity
Commuting signs of infinity Open
Discrete minimal surface algebras and Yang Mills algebras may be related to (generalized) Kac Moody algebras, just as Membrane (matrix) models and the IKKT model - including a novel construction technique for minimal surfaces.
View article: Representation spaces for the membrane matrix model
Representation spaces for the membrane matrix model Open
The $SU(N)$--invariant matrix model potential is written as a sum of squares with only four frequencies (whose multiplicities and simple $N$--dependence are calculated).
View article: Natural orbitals for many-body expansion methods
Natural orbitals for many-body expansion methods Open
The nuclear many-body problem for medium-mass systems is commonly addressed\nusing wave-function expansion methods that build upon a second-quantized\nrepresentation of many-body operators with respect to a chosen computational\nbasis. Whi…
View article: On the r-matrix of M(embrane)-theory
On the r-matrix of M(embrane)-theory Open
Supersymmetrizable theories, such as M(em)branes and associated matrix-models related to Yang-Mills theory, possess r-matrices
View article: Dual variables for M-branes
Dual variables for M-branes Open
Motivated in parts by arXiv:2101.01803, relativistic extended objects will be described by an (over-complete) set of generalized coordinates and momenta that in some sense are 'dual' to each other.
View article: Square-roots and Lax-pairs for supersymmetrizable systems
Square-roots and Lax-pairs for supersymmetrizable systems Open
Several examples are given illustrating the (presumably rather general) fact that bosonic Hamiltonians that are supersymmetrizable automatically possess Lax-pairs, and square-roots.