[PDF][PDF] Quantum brownian motion: a review
A Ghosh, M Bandyopadhyay… - arxiv preprint arxiv …, 2023 - researchgate.net
We review in a pedagogic manner the topic of quantum Brownian motion, with an emphasis
on its thermodynamic aspects. For the sake of completeness, we begin with the classical …
on its thermodynamic aspects. For the sake of completeness, we begin with the classical …
Independent-oscillator model and the quantum Langevin equation for an oscillator: a review
A Ghosh, M Bandyopadhyay… - Journal of Statistical …, 2024 - iopscience.iop.org
This review provides a brief and quick introduction to the quantum Langevin equation for an
oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the …
oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the …
Partition of kinetic energy and magnetic moment in dissipative diamagnetism
In this paper, we analyze dissipative diamagnetism, arising due to dissipative cyclotron
motion in two dimensions, in the light of the quantum counterpart of energy equipartition …
motion in two dimensions, in the light of the quantum counterpart of energy equipartition …
Quantum dissipation and the virial theorem
A Ghosh, M Bandyopadhyay - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
In this note, we study the celebrated virial theorem for dissipative systems, both classical and
quantum. The classical formulation is discussed and an intriguing effect of the random force …
quantum. The classical formulation is discussed and an intriguing effect of the random force …
Energetics of the dissipative quantum oscillator
In this paper, we discuss some aspects of the energetics of a quantum Brownian particle
placed in a harmonic trap, also known as the dissipative quantum oscillator. Based on the …
placed in a harmonic trap, also known as the dissipative quantum oscillator. Based on the …
Quantum counterpart of equipartition theorem: A Möbius inversion approach
XH Tong, Y Wang - Physical Review Research, 2024 - APS
The equipartition theorem is crucial in classical statistical physics, and recent studies have
revealed its quantum counterpart for specific systems. This raises the question: does a …
revealed its quantum counterpart for specific systems. This raises the question: does a …
A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
S Bedkihal, J Behera, M Bandyopadhyay - arxiv preprint arxiv …, 2024 - arxiv.org
The study of heat-to-work conversion has gained significant attention in recent years,
highlighting the potential of nanoscale systems to achieve energy conversion in steady-state …
highlighting the potential of nanoscale systems to achieve energy conversion in steady-state …
On Quantum Equipartition Theorem for General Systems
XH Tong, Y Wang - arxiv preprint arxiv:2311.02588, 2023 - arxiv.org
Does the quantum equipartition theorem truly exist for any given system? If so, what is the
concrete form of such a theorem? The extension of the equipartition theorem, a fundamental …
concrete form of such a theorem? The extension of the equipartition theorem, a fundamental …
Correspondence between the Energy Equipartition Theorem in Classical Mechanics and Its Phase-Space Formulation in Quantum Mechanics
In classical physics, there is a well-known theorem in which it is established that the energy
per degree of freedom is the same. However, in quantum mechanics, due to the non …
per degree of freedom is the same. However, in quantum mechanics, due to the non …
Correspondence between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics
E Marulanda Ardila, A Restrepo… - Available at SSRN …, 2022 - papers.ssrn.com
In classical physics there is a well-known theorem in which it is established that the energy
per degree of freedom is the same. However, in quantum mechanics due to the non …
per degree of freedom is the same. However, in quantum mechanics due to the non …