# Seven steps towards the classical world

@article{Allori2001SevenST, title={Seven steps towards the classical world}, author={Valia Allori and Detlef Durr and Shelly Goldstein and Nino Zangh'i}, journal={Journal of Optics B-quantum and Semiclassical Optics}, year={2001}, volume={4}, pages={171-182} }

Classical physics is about real objects, like apples falling from trees, whose motion is governed by Newtonian laws. In standard quantum mechanics only the wavefunctions or the results of measurements exist, and to answer the question of how the classical world can be part of the quantum world is a rather formidable task. However, this is not the case for Bohmian mechanics which, like classical mechanics, is a theory about real objects. In Bohmian terms, the problem of the classical limit…

## 53 Citations

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## References

SHOWING 1-10 OF 24 REFERENCES

Bohmian mechanics as the foundation of quantum mechanics

- Physics
- 1996

In order to arrive at Bohmian mechanics from standard nonrelativistic quantum mechanics one need do almost nothing! One need only complete the usual quantum description in what is really the most…

Quantum equilibrium and the origin of absolute uncertainty

- Mathematics, Physics
- 1992

The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from…

Decoherence and the Appearance of a Classical World in Quantum Theory

- Physics
- 1996

1 Introduction.- 2 Basic Concepts and Their Interpretation.- 3 Decoherence Through Interaction with the Environment.- 4 Decoherence in Quantum Field Theory and Quantum Gravity.- 5 Consistent…

Quantum Theory without Observers—Part One

- Physics
- 1998

Since its inception some 70 years ago and despite its extraordinary predictive successes, quantum mechanics has been plagued by conceptual difficulties. Plainly put, the basic problem is this: It is…

Bohmian mechanics and quantum theory: an appraisal

- Physics
- 1996

Preface. I: Bohmian Mechanics: Background and Fundamentals. 1. The Causal Quantum Theory Program J.T. Cushing. 2. Bohmian Mechanics as the Foundation of Quantum Mechanics D. Durr, et al. 3.…

A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II

- Physics
- 1952

In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…

Semi-classical approximation in quantum mechanics

- Mathematics
- 1981

I Quantization of Velocity Field (the Canonical Operator).- 1. The method of Stationary phase. The Legendre Transformation.- 2. Pseudodifferential Operators.- 3. The Hamilton-Jacobi Equation. The…

Quantum mechanics

- Nature
- 1975

Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.

An Introduction to Semiclassical and Microlocal Analysis

- Mathematics
- 2002

Introduction * Semiclassical Pseudodifferential Calculus * Microlocalization * Applications to the Solutions of Analytic Linear PDEs * Complements: Symplectic Aspects * Appendix: List of Formulae *…

When Liquids Stay Dry

- Art
- 1998

If you are in the habit of watching your drip coffee maker prepare your morning beverage, you'll occasionally witness something interesting: As the coffee drips into the pot, you'll often see one of…