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Production and Targeting of Monovalent Quantum Dots
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Principle of maximum caliber and quantum physics.

Ignacio J General1

  • 1School of Science and Technology, Universidad Nacional de San Martin, and CONICET, 25 de Mayo y Francia, San Martín, 1650 Buenos Aires, Argentina.

Physical Review. E
|August 17, 2018
PubMed
Summary

MaxCal, a principle for inferring path distributions in dynamical systems, is extended to quantum physics. This method constructs quantum field Lagrangians and offers new insights into inertia.

Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Dynamical systems

Background:

  • MaxCal is a variational principle successfully applied to classical physics, particularly equilibrium and non-equilibrium statistical mechanics.
  • Its formalism shares analogies with the path integral formulation of quantum mechanics.

Purpose of the Study:

  • To extend the applications of MaxCal into the realm of quantum physics.
  • To demonstrate the construction of quantum field Lagrangians using MaxCal.
  • To explore reinterpretations of inertia through MaxCal constraints.

Main Methods:

  • Leveraging the analogy between MaxCal and quantum mechanics path integrals.
  • Applying MaxCal with a defined set of constraints to quantum field theory.
  • Analyzing the implications of these constraints on fundamental concepts.

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Main Results:

  • Successfully extended MaxCal to quantum physics.
  • Developed a method to construct Lagrangians for relativistic and nonrelativistic quantum fields using MaxCal.
  • Identified that the details of the constraints offer a new perspective on inertia.

Conclusions:

  • MaxCal provides a viable framework for quantum field theory.
  • The principle offers a novel approach to understanding and defining inertia.
  • This work bridges classical and quantum physics through a unified variational principle.