Information and thermodynamic properties of a <scp>non‐Hermitian</scp> particle ensemble
Francisco Cleiton E. Lima, Allan R. P. Moreira, Carlos Alberto S. Almeida
Abstract
Abstract In the context of non‐relativistic quantum mechanics, we investigated Shannon's entropy of a non‐Hermitian system to understand how this quantity is modified with the cyclotron frequency. Subsequently, we turn our attention to the construction of an ensemble of these spinless particles in the presence of a uniform magnetic field. Then, we study the thermodynamic properties of the model. Finally, we show how Shannon's entropy and thermodynamic properties are modified with the action of the magnetic field.
Topics & Concepts
Thermodynamic betaEntropy (arrow of time)Microcanonical ensemblePhysicsStatistical ensembleStatistical physicsQuantumContext (archaeology)Thermodynamic processCanonical ensembleFundamental thermodynamic relationAction (physics)CyclotronHeat capacityThermodynamicsThermodynamic systemThermodynamic equationsParticle (ecology)Thermodynamic stateSpecific heatEnsemble averageMaterial propertiesThermodynamic potentialMagnetic fieldParticle numberSpectral propertiesGrand canonical ensembleQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsStatistical Mechanics and Entropy