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.
