Answer to Question #58152 in Mechanics | Relativity for Manish Kumar

Question

Question 1. Using Heisenberg’s uncertainty principle, explain whether a particle trapped inside a one dimensional box of finite length, can be at rest.
Question 2. The eigenvalues and eigenfunctions of a quantum mechanical operator A are denoted by a(subscript)n and , ψ(subscript)n respectively. If f(x) denotes a function that can be expanded in the powers of x, show that:
f(A)ψ(subscript)n = f(a(subscript)n)*ψ(subscript)n