btain the phase space area enclosed by a classical harmonic oscillator for energies ranging from 0 to E.
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What is the Bose-Einstein condensation? Write an expression of number of particles in the excited state (Nex) in terms of Bose-Einstein condensation temperature (Tc), total number of bosons (N) in an assembly and temperature T. Show a plot of distribution of bosons as a function of temperature below and above the Tc.
btain the phase space area enclosed by a classical harmonic oscillator for energies ranging from 0 to E.
A proton inside a nucleus
may have speed upto
. How many quantum states are available to it?
What is meant by Cluster Integrals? Express B2 and B3 in terms of Cluster Integrals.
State the Virial theorem and prove Boyle’s law using it.
Using entropy as a function of temperature and pressure, obtain the first Ehrenfest’s equation.
The time evolution of the quantum state, is given by the Schrödinger wave equation:
where H is the Hamiltonian operator. Using this equation, obtain time evolution of the wave function when the energy eigenvalue is E.