This is about HEisenberg Uncertainty principle I ve learned

Finally, we note that the Heise terms of energy and time, as that the Heisenberg uncertainty principle can be expressed also of energy and time, as follows. Because momentum mass × speed e h speed = mass × × time time a r = force × time Thus, momentum × distance force × distance × time = energy × time where AE the is the uncertainty in energy when the system is in a certain state, and t is wiie nea which the system is in the state. Equation 1027 can now be time interval during whicl ntten as (10.28) 4 in a finite span of time. Equation 10.28 is particularly useful for tion form a conjugate pair, as do energy and time. We shall return s We e, to have s i le cannot measure the (kinetic) energy of a particle with absolute precision eent ral lie widths (see Section 11.1). In quantum-mechanical language, othis point in Chapter 11. matin momentum and omentum and posi

Solution

In thermodynamics, E is defined as energy of the system,which consists of heat and work as we consider system and its interaction with the surrounding.

In the uncertainty principle, we define E as energy of system which is a particle, and this energy consists of kinetic and potential energy of the particle.

So, though we use same notation E, the meaning attached to it in thermodynamics and uncertainty principle is entirely different.