Bohm and de Broglie suggest that there may be hidden...

Name: Problem 24, Chapter 3: Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles
Uploaded: 2022-02-27T21:23:45-08:00
Duration: 2 min 35 s
Channel: Suzanne W.
Description: Bohm and de Broglie suggest that there may be hidden variables at a level deeper than quantum theory which are strictly determined. Draw an analogy to the relation between statistical mechanics and Newton's law of motion.

Bohm and de Broglie suggest that there may be hidden variables at a level deeper than quantum theory which are strictly determined. Draw an analogy to the relation between statistical mechanics and Newton's law of motion.

Key Concepts

Newtonian Mechanics

Newtonian mechanics provides a fully deterministic description of motion and interactions at the classical level. It lays down precise laws for predicting the future behavior of physical systems given their current states. The analogy with hidden variable theories in quantum mechanics arises from the idea that, just as Newtonian mechanics underlies statistical mechanics, an underlying deterministic framework might exist beneath the statistical interpretation of quantum phenomena.

Statistical Mechanics

Statistical mechanics is a framework used to describe the macroscopic properties of systems based on the statistical behavior of their microscopic components. Although the microscopic motions are governed by deterministic laws such as Newton's laws of motion, the large number of particles involved makes exact predictions impractical, and statistical methods become a useful tool to predict average behaviors.

Emergence and Reductionism

Emergence and reductionism involve understanding how complex, macroscopic laws and behaviors arise from simpler, microscopic rules. In this analogy, the probabilistic results of quantum mechanics emerge from a deeper, deterministic level defined by hidden variables, similar to how the statistical properties of matter can emerge from the aggregate behavior governed by Newton's laws. This highlights the philosophical approach of reducing complex phenomena to more fundamental deterministic laws.

Hidden Variable Theories

This concept refers to the idea that quantum theory, as traditionally formulated, might be an incomplete statistical description of a fundamentally deterministic reality. Proponents argue that there could exist additional, 'hidden' parameters governing the behavior of quantum systems, much like how underlying classical variables determine the outcomes in Newtonian mechanics, even though the statistical methods of quantum mechanics only yield probabilistic predictions.

Determinism

Determinism is the philosophical view that all events are completely determined by prior causes, meaning that complete knowledge of a system's initial conditions could in principle allow for exact predictions of its future behavior. In the context of hidden variable theories, determinism suggests that what appears as random or probabilistic in quantum experiments might actually be governed by strict, underlying laws.

Transcript

Please give Ace some feedback