# Interaction between classical and quantum systems: A new approach to quantum measurement. III. Illustration

@article{Gautam1979InteractionBC, title={Interaction between classical and quantum systems: A new approach to quantum measurement. III. Illustration}, author={S. R. Gautam and T. N. Sherry and E. C. George Sudarshan}, journal={Physical Review D}, year={1979}, volume={20}, pages={3081-3094} }

Following the approach to quantum measurement, proposed in an earlier paper, in which the apparatus is treated as a purely classical instrument to be described by the laws of classical mechanics we examine some simple experiments for the purpose of illustration. The Stern-Gerlach experiment is examined in detail, within our approach, and we see explicitly how the relevant information is transferred to the apparatus variables. We also examine a magnetic interferometer arrangement and a crossed…

## 15 Citations

### Measurement of a quantum system with a classical apparatus using ensembles on configuration space

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

Finding a physically consistent approach to modeling interactions between classical and quantum systems is a highly nontrivial task. While many proposals based on various mathematical formalisms have…

### Interacting classical and quantum ensembles

- Physics
- 2005

A consistent description of interactions between classical and quantum systems is relevant to quantum measurement theory and to calculations in quantum chemistry and quantum gravity. A solution is…

### Hybrid classical-quantum formulations ask for hybrid notions

- Computer Science
- 2012

The Peres-Terno argument regarding the inconsistency of hybrid quantizations of the Sudarshan type is analyzed, and Wigner's quantization of a simple model is used to illustrate how in hybrid systems the subsystems are never purely classical or quantum.

### Consistency of Hybrid Quantum-Classical Ensembles

- Physics
- 2016

The formalism of ensembles on configuration space allows for a general description of interactions between quantum and classical ensembles. In this chapter, we consider such hybrid ensembles and…

### Dynamics of Interacting Classical and Quantum Systems

- PhysicsOpen Syst. Inf. Dyn.
- 2011

The main idea is to treat both systems as true quantum ones and impose a family of superselection rules which imply that the corresponding algebra of observables of one subsystem is commutative and hence may be treated as a classical one.

### Mixing quantum and classical mechanics and uniqueness of Planck's constant

- Physics, Mathematics
- 2003

Observables of quantum or classical mechanics form algebras called quantum or classical Hamilton algebras (HAs), respectively (Grgin and Petersen 1974 J. Math. Phys. 15 764, Sahoo 1977 Pramana 8…

### Vindication of entanglement-based witnesses of non-classicality in hybrid systems

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

It is argued that the counterexample proposed by Hall and Reginatto in fact validates the witness, vindicating the witness of non-classicality in its full generality.

### On two recent proposals for witnessing nonclassical gravity

- Physics
- 2017

It is shown that the claim that quantum systems cannot become entangled via a classical intermediary is also valid for mean-field models, but that it is contradicted by explicit counterexamples based on the configuration-ensemble model.

### Galilean covariance of quantum-classical hybrid systems of the Sudarshan type

- Physics
- 2020

We revisit quantum-classical hybrid systems of the Sudarshan type under the light of Galilean covariance. We show that these kinds of hybrids cannot be given as a unitary representation of the…

### Projective representation of the Galilei group for classical and quantum–classical systems

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

A physically relevant unitary irreducible non-projective representation of the Galilei group is possible in the Koopman–von Neumann formulation of classical mechanics. This classical representation…