For a particle in a box of length L, write the expression for the energy levels, En, and then write a similar expression E'n for the energy levels when the length of the box has increased to 1.1L (that is, an increase by 10 per cent). Calculate (E'n-En)/En, the fractional change in the energy that results from extending the box.

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.