Classical here is to be understood in opposition to quantum statistical mechanics.

Mixed state (physics) - A concept in quantum statistical mechanics.

This is one advantage of the "algebraic" method in quantum statistical mechanics.

For more information on statistics of quantum systems, see quantum statistical mechanics.

These microstates form a discrete set as defined by quantum statistical mechanics, and is an energy level of the system.

The number of electron-hole pairs in the steady state at a given temperature is determined by quantum statistical mechanics.

The ensemble is initialized to be the thermal equilibrium state (see quantum statistical mechanics).

They are used in mathematical formulations of quantum statistical mechanics and quantum field theory.

From the perspective of quantum statistical mechanics, several degenerate states at the same level are all equally probable of being filled.

A mixed quantum state is a statistical ensemble of pure states (see quantum statistical mechanics).

Hepp worked on relativistic quantum field theory, quantum statistical mechanics, and theoretical laser physics.

Quantum statistical mechanics is the study of statistical ensembles of quantum mechanical systems.

The quantum KZ equations have been used to study exactly solved models in quantum statistical mechanics.

The state of energy stored within matter, or transported by the carriers, is described by a combination of classical and quantum statistical mechanics.

During the long voyage he studied the implications of relativity theory and the new Fermi-Dirac quantum statistical mechanics for stellar collapse.

On the other hand, von Neumann introduced the density matrix in order to develop both quantum statistical mechanics and a theory of quantum measurements.

His research interests include string theory, quantum field theory, quantum statistical mechanics and quantum cosmology.

A. Kossakowski, On quantum statistical mechanics of non-Hamiltonian systems, Rep. Math.

The term KMS state comes from the Kubo-Martin-Schwinger condition in quantum statistical mechanics.

In quantum statistical mechanics, the Bogoliubov inner product appears as the second order term in the expansion of the statistical sum:

The mathematical study of quantum mechanics, quantum field theory and quantum statistical mechanics has motivated results in operator algebras.

The Bogoliubov inner product appears in quantum statistical mechanics and is named after theoretical physicist Nikolay Bogoliubov.

In applications to quantum statistical mechanics, the operator has the form , where is the Hamiltonian of the quantum system and is the inverse temperature.

In series of his works the development of methods of quantum statistical mechanics was considered in light of their applications to quantum solid-state theory.

Although it is usually classified as a branch of functional analysis, it has direct applications to representation theory, differential geometry, quantum statistical mechanics and quantum field theory.