Maximum Power Of Quantum Mechanical Carnot Engine Using The Woods-Saxon Model

Abstract

Quantum mechanical Carnot engine was studied and its maximum power, as well as efficiency at maximum power were obtained by using Woods-Saxon potential for Carnot cycle which has four processes. These processes are isothermal expansion, adiabatic expansion, isothermal compression and adiabatic compression. The power and efficiency of heat engine were derived using L1, L3 , V and r (assymetry term). That means L3 = rL1. For r < 1.5, maximum power is undefined. Again for r > 2 efficiency at maximum power is greater than one. In interval 1.5 < r < 2, as r approaches to 2, efficiency at maximum power goes to Carnot efficiency. Again as potential increasing this type of heat engine gives us maximum value of power. So, it is better to use L1 and L3 nearly approaches to each other in between 1.5 < r < 2 and high value of potential for this type of model engine.