In: Physics
Answer: The classical mechanics based on Newtons laws of motion cannot be explained the behaviour of sub-atomic particles.In 1926 Erwin Schrodinger developed wave mechanics on the basis of de-Broglies hypothesis of wave particle duality.Schrodinger equation is the fundamental equation of the sub-microscopic phenomena known as quatum mechanics.The Schrodinger equation describes the form of the probability waves or wave functions that govern the motion of small particles,and it specifies how these waves are altered by external influences.The Schrodinger equation is used to find the alowed energy levels of quantum mechanical system.The associated wave-function gives the probability of finding the particle at a certain position.The solution of the equation leads to formation of concepts of quantized shells,sub-shells and orbitals.Thats why it is very importent equation in developing the branch of quantum mechanics.
The Schrodinger equation also obey the Heisenberg uncertainty principle.
Statistical mechanics is a branch of physics that combine the principles of statistics with the laws of both classical mechanic and quantum mechanics with respect to the field of thermodynamics.It describes the behaviour of large number of atoms or molecules and distribution of energy amoung them.