62 citations · 227 across the 33 of their papers we have counts for
17 papers · 1 filter
Quantum tomography explains quantum mechanics
Arnold Neumaier
Starting from a new principle inspired by quantum tomography rather than from Born's rule, this paper gives a self-contained deductive approach to quantum mechanics and quantum mea…
Born's rule and measurement
Arnold Neumaier
Born's rule in its conventional textbook form applies to the small class of projective measurements only. It is well-known that a generalization of Born's rule to realistic experim…
Foundations of quantum physics V. Coherent foundations
Arnold Neumaier
This paper is a programmatic article presenting an outline of a new view of the foundations of quantum mechanics and quantum field theory. In short, the proposed foundations are gi…
Foundations of quantum physics IV. More on the thermal interpretation
Arnold Neumaier
This paper continues the discussion of the thermal interpretation of quantum physics. While Part II and Part III of this series of papers explained and justified the reasons for th…
Foundations of quantum physics III. Measurement
Arnold Neumaier
This paper presents the measurement problem from the point of view of the thermal interpretation of quantum physics introduced in Part II. The measurement of a Hermitian quantity $…
Foundations of quantum physics II. The thermal interpretation
Arnold Neumaier
This paper presents the thermal interpretation of quantum physics. The insight from Part I of this series that Born's rule has its limitations -- hence cannot be the foundation of…
Foundations of quantum physics I. A critique of the tradition
Arnold Neumaier
This paper gives a thorough critique of the foundations of quantum physics in its mainstream interpretation (i.e., treating pure states as primitives, without reference to hidden v…
Classical and Quantum Mechanics via Lie algebras
Arnold Neumaier, Dennis Westra
The goal of this book is to present classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, thereby introducing mathematicians,…
A simple hidden variable experiment
Arnold Neumaier
An experiment is described which proves, using single photons only, that the standard hidden variables assumptions (commonly used to derive Bell inequalities) are inconsistent with…
Collapse challenge for interpretations of quantum mechanics
Arnold Neumaier
The collapse challenge for interpretations of quantum mechanics is to build from first principles and your preferred interpretation a complete, observer-free quantum model of the d…
Gaussian resolutions for equilibrium density matrices
P. Frantsuzov, A. Neumaier, V. A. Mandelshtam
A Gaussian resolution method for the computation of equilibrium density matrices rho(T) for a general multidimensional quantum problem is presented. The variational principle appli…
Explicit effective Hamiltonians for general linear quantum-optical networks
U. Leonhardt, A. Neumaier
Linear optical networks are devices that turn classical incident modes by a linear transformation into outgoing ones. In general, the quantum version of such transformations may mi…
Ensembles and experiments in classical and quantum physics
Arnold Neumaier
A philosophically consistent axiomatic approach to classical and quantum mechanics is given. The approach realizes a strong formal implementation of Bohr's correspondence principle…
Bohmian mechanics contradicts quantum mechanics
Arnold Neumaier
It is shown that, for a harmonic oscillator in the ground state, Bohmian mechanics and quantum mechanics predict values of opposite sign for certain time correlations. The discrepa…
Noncommutative analysis and quantum physics I. Quantities, ensembles and states
Arnold Neumaier
A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of…
Noncommutative analysis and quantum physics I. States and ensembles
Arnold Neumaier
In this sequence of papers, noncommutative analysis is used to give a consistent axiomatic approach to a unified conceptual foundation of classical and quantum physics. The present…
On a realistic interpretation of quantum mechanics
Arnold Neumaier
The best mathematical arguments against a realistic interpretation of quantum mechanics - that gives definite but partially unknown values to all observables - are analysed and sho…