Quantum Isothermal Reversible Process of Particles in a Box with a Delta Potential

다국어 초록 (Multilingual Abstract)

For an understanding of a heat engine working in the microscopic scale, it is often necessary toestimate the amount of reversible work extracted by isothermal expansion of the quantum gas usedas its working substance. We consider an engine with a movable wall, modeled as an infinite squarewell with a delta peak inside. By solving the resulting one-dimensional Schr¨odinger equation,we obtain the energy levels and the thermodynamic potentials. Our result shows how quantumtunneling degrades the engine by decreasing the amount of reversible work during the isothermalexpansion.

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