Ensemble Average of the Expectation Value of the Hamiltonian of a Free Particle in the Coordinate and Momentum Representation in the Density Matrix Formalism
Year: 2025
Type: article
Abstract: The ensemble average of the expectation value of the Hamiltonian of a free particle (chosen, for the sake of simplicity in the subsequent discussion), contained in a cubical box, is evaluated in both coordinate representation and momentum representation explicitly (step by step) in the density matrix formalism. We see that these results are independent of the choice of the representation, provided we are using the correct representation of the wave function and the operator and evaluate some new calculations in addition. We then discuss the applications of the density matrix theory in diverse areas of physics and beyond in a concise way and conclude.
Author: Dr. Palash Das
Institution: Santipur College
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7102388562
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