What are quantum fluctuations

By Theodorus M. Nieuwenhuizen. 2007

512 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/573ecca4babdadb91dff1f9a65f893129a4b50e5

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Citations in the corpus

Research on hidden variable theories: A review of recent progresses (2005, background): “Finally, it must be emphasised that, due to the form of the term 126, the transition probabilities for a subsystem can depend on the properties of a far away (space-like separated) different subsystem [451], showing the non-locality of this model.”
Bohmian Mechanics (2009, background): “Speaking of stochastic theories, I note that a variant of Bohmian mechanics for non-relativistic quantum mechanics with stochastic trajectories (a diffusion process) was proposed by Edward Nelson under the name “stochastic mechanics” [54, 38].”
Quantum many‐body phenomena in coupled cavity arrays (2008, methodology): “The phase diagrams for the two dimensional version of the Jaynes-Cummings based model (30) have been calculated by various approaches, among those a mean field approach [23] and a variational cluster approach [40].”
On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory (2006, background): “The natural analog for a theory with particle ontology with indeterministic evolution is stochastic mechanics (SM), in which the law of evolution of the particles is given by a diffusion process while the evolution of the wave function, the usual Schrödinger evolution, remains deterministic (see [36”
On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics (2008, background): “A related problem arises in the study of Nelson stochastic mechanics (see for instance Nelson [42], Guerra and Morato [24]), where the mathematical theory is based on the analysis of the velocity fields (see Carlen [7]).”
A survey of the Schr\"odinger problem and some of its connections with optimal transport (2013, background): “[0,1] ( |Ẋt|(2)/2 + U(Xt) ) dt which should be connected with some Newton equation ? What are the quantities that are conserved along the minimizer [μ0, μ1], in terms of the symmetries of the potential U? 21Unlike Nelson’s stochastic mechanics [Nel85] or Nagasawa’s interpretation of quantum mechanic”
Dynamical Casimir effect in superconducting microwave circuits (2010, unknown): “[66,67], we now introduce creation and annihilation operators for the flux field in the CPW and write the field in second quantized form”
On the Relation Between Optimal Transport and Schrödinger Bridges: A Stochastic Control Viewpoint (2014, unknown): “(23) Moreover, forward and backward drifts are related through Nelson’s duality relation [18] bP−(x, t) = bP+(x, t) − ∇ ln ρ(x, t).”