Pulse Core Lexicon

Transition Regime

Definition

The Transition Regime is the range of the Duality Parameter near 1, D ≈ 1, where an object's de Broglie wavelength is comparable to its characteristic form length, so wave and particle behavior coexist. The book classifies wave-particle behavior by the ratio of these two lengths: well above 1 lies the Wave Regime of extended field behavior, well below 1 the Particle Regime of localized form, and between them the Transition Regime. It is where the field-to-form crystallization is neither complete nor absent. Among the Chapter 7.6 testable predictions, transitions of this kind are to be measured through fringe visibility in matter-wave interferometry. The condition is D = λ_dB/L▢ ≈ 1, where D is the Duality Parameter, λ_dB the de Broglie wavelength and L▢ the characteristic form length scale; D is a ratio of two lengths and so dimensionless [∅]. It connects to the Duality Parameter, Wave Regime, Particle Regime, Characteristic Form Length Scale and Field-to-Form Transition.

Mathematical Expression

D = λ_dB/L▢ ≈ 1

Technical Details

Category Concept

Chapter Chapter 7

Importance

Related Terms