Some topics in thermodynamics and quantum mechanics
Robert Carroll
TL;DR
This paper explores the interconnections between fractional calculus, fractal structures, thermodynamics, and quantum mechanics, aiming to unify these concepts through mathematical relations.
Contribution
It introduces new connecting relations that link fractional and quantum calculi with thermodynamics and fractal structures.
Findings
Identifies mathematical links between fractional calculus and quantum mechanics
Proposes a framework connecting fractal structures with thermodynamic principles
Suggests potential unified models for complex systems
Abstract
We sketch some connecting relations involving fractional and quantum calculi, fractal structure, thermodynamics, and quantum mechanics.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Physical and Chemical Molecular Interactions · Quantum Mechanics and Applications