Consider an Ar atom trapped in square box with length 1 m. Assume that the energy of the Ar atom is equal to thermal energy: 3kBT/2 at 25 degrees C. a) Use the model of a particle in a box and assume the particle is at the state: n = nx = ny = nz, calculate n of the above system. b) What is the energy separation between the states (n, n, n) and (n + 1, n, n).  c) Assume that all the energy of the particle is from kinetic energy. Calculate the de Broglie wavelength of the particle.

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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.