Related Experiment Video
Updated: Aug 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Path integrals for the quantum microcanonical ensemble
1Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634-1907, USA.
Abstract:
Path integral representations for the quantum microcanonical ensemble are presented. In the quantum microcanonical ensemble, two operators are of primary interest. First, rhoinsertion mark=delta(E-Hinsertion mark) corresponds to the microcanonical density matrix and can be used to calculate expectation values. Second, Ninsertion mark=Theta(E-Hinsertion mark) can give the number of states with energy E(n)
Related Concept Videos
The Uncertainty Principle
The Quantum-Mechanical Model of an Atom
Absolute Entropies and the Third Law of Thermodynamics
Change of Variables in Multiple Integrals
Line Integrals in Space
Calculation of First-Law Quantities II

