Variance Decomposition in Bohmian Mechanics
Research Paper#Quantum Mechanics, Bohmian Mechanics, Variance Decomposition🔬 Research|Analyzed: Jan 3, 2026 17:09•
Published: Dec 31, 2025 06:38
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•ArXivAnalysis
This paper explores a trajectory-based approach to understanding quantum variances within Bohmian mechanics. It decomposes the standard quantum variance into two non-negative terms, offering a new perspective on quantum fluctuations and the role of the quantum potential. The work highlights the limitations of this approach, particularly regarding spin, reinforcing the Bohmian interpretation of position as fundamental. It provides a formal tool for analyzing quantum fluctuations.
Key Takeaways
- •Introduces a trajectory-based decomposition of quantum variances in Bohmian mechanics.
- •Decomposes quantum variance into ensemble variance and a quantum term.
- •Links variance-level fluctuations to the average quantum potential for momentum.
- •Highlights limitations in interpreting spin within this framework.
- •Provides a formal tool for analyzing quantum fluctuations.
Reference / Citation
View Original"The standard quantum variance splits into two non-negative terms: the ensemble variance of weak actual value and a quantum term arising from phase-amplitude coupling."