cse • paper_2 • quantum_mechanicscse-2009-subject-05-004
Particle in a box — UPSC CSE 2009 Physics PYQ
Buy PYQ Solution Manual →(i) Consider a particle in a three-dimensional box. Derive an expression for g(E), the density of states. (ii) Show that \frac{g(p)}{g(E)} = \frac{dE}{dp} , where g(p) is the density of states in the momentum space. Deduce that g(p) is proportional to p^2 for a free non-relativistic particle.
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