Why does an oscillatory system have a lower bound in energy?

In summary, the internal energy's lower bound is the minimum amount of energy that a system can possess and is determined by its temperature and volume. It is directly related to the first law of thermodynamics and cannot be negative due to the positive nature of temperature and volume. The lower bound also affects the possibility of thermodynamic processes, but there are exceptions in quantum systems where discrete energy values can be below the minimum energy value.
  • #1
fricke
39
3
Thermodynamics question:

Why does the internal energy have a lower bound?

I tried to explain it using postulates, but cannot get the connection between the postulates. Please do explain it briefly. Thank you.
 
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  • #2
An oscillatory system has got a lower bound. It can not be explained in the frames of Classical Physics, but comes out from Quantum Mechanics. The lowest energy of an oscillator vibrating with frequency f is hf/2, called the zero-point energy of the oscillator.
 

Related to Why does an oscillatory system have a lower bound in energy?

1. What is the concept of internal energy's lower bound?

The internal energy's lower bound refers to the minimum amount of energy that a system can possess. It is a fundamental concept in thermodynamics and is determined by the system's temperature and volume.

2. How is the internal energy's lower bound related to the first law of thermodynamics?

The internal energy's lower bound is directly linked to the first law of thermodynamics, which states that energy cannot be created or destroyed, only transferred or converted. The lower bound represents the minimum amount of energy that must be present in a system to account for all energy transfers and conversions.

3. Can the internal energy's lower bound ever be negative?

No, the internal energy's lower bound cannot be negative. The lower bound is determined by the temperature and volume of a system, which are always positive values. Therefore, the minimum energy value must also be positive.

4. How does the internal energy's lower bound affect thermodynamic processes?

The internal energy's lower bound plays a crucial role in determining whether a thermodynamic process is possible or not. For example, if the initial internal energy of a system is below the lower bound, it is impossible for the system to reach the final energy state through any thermodynamic process.

5. Are there any exceptions to the concept of internal energy's lower bound?

Yes, there are exceptions to the internal energy's lower bound. These exceptions occur in quantum systems, where the energy values are discrete rather than continuous. In these cases, the concept of a lower bound does not apply, and the energy values can be below the minimum energy value.

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