# Über die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen

@article{NeumannberDA, title={{\"U}ber die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen}, author={John von Neumann}, journal={Mathematische Zeitschrift}, volume={30}, pages={3-42} }

#### 58 Citations

Cutting a Cake Is Not Always a "Piece of Cake": A Closer Look at the Foundations of Cake-Cutting Through the Lens of Measure Theory

- Computer Science
- ArXiv
- 2021

The commonly used definitions in the cake-cutting literature are surveyed, their strengths and weaknesses are highlighted, and some recommendations on what definitions could be most reasonably used when looking through the lens of measure theory are made. Expand

Dirac equation in (1 + 1) dimensional curved space-time: Bound states and bound states in continuum

- Physics
- Physica Scripta
- 2020

Monte Carlo Quantum Computing

- Physics
- 2020

It is shown that a particular class of so-called strongly frustration-free manybody Hamiltonians can be Monte Carlo simulated efficiently on a classical computing machine, because the ground state of… Expand

Semianalytic Expressions for the Isolation and Coupling of Mixed Modes

- Physics
- The Astrophysical Journal
- 2020

In the oscillation spectra of giant stars, nonradial modes may be seen to undergo avoided crossings, which produce a characteristic "mode bumping" of the otherwise uniform asymptotic p- and g-mode… Expand

About von Neumann's problem for locally compact groups

- Mathematics
- Journal of Noncommutative Geometry
- 2018

We note a generalization of Whyte's geometric solution to the von Neumann problem for locally compact groups in terms of Borel and clopen piecewise translations. This strengthens a result of Paterson… Expand

Ju l 2 01 7 Universality of single qudit gates

- 2018

We consider the problem of deciding if a set of quantum onequdit gates S = {g1, . . . , gn} ⊂ G is universal, i.e. if < S > is dense in G, where G is either the special unitary or the special… Expand

On Følner sets in topological groups

- Mathematics
- Compositio Mathematica
- 2018

We extend Følner’s amenability criterion to the realm of general topological groups. Building on this, we show that a topological group $G$ is amenable if and only if its left-translation action can… Expand

Random matrix ensembles for many-body quantum systems

- Physics
- 2018

Classical random matrix ensembles were originally introduced in physics to approximate quantum many-particle nuclear interactions. However, there exists a plethora of quantum systems whose dynamics… Expand

An extended E⊗e Jahn-Teller Hamiltonian for large-amplitude motion: Application to vibrational conical intersections in CH3SH and CH3OH.

- Physics, Medicine
- The Journal of chemical physics
- 2017

An extended E⊗e Jahn-Teller Hamiltonian is presented for the case where the (slow) nuclear motion extends far from the symmetry point and may be described approximately as motion on a sphere. Rather… Expand