A particle of mass m is located in a box of length L and found to be in its ground state
A) what is the probability of finding the particle between x=0 and x=L/4
B) What is the expectation value for the position of the particle?
C)What is the expectation value <x^2>...
Consider a particle in a superposition of states given at time t=0 by Y(x,0)=C(y1(x)+y2(x)), where y1(x) and y2(x) are the stationary states with energies E1 and E2 respectively. if y1(x) and y2(x) are orthonormalized, what value of C is required to normalize Y(x,0)...
ok, that makes some sense, so since the position operator [x] is just x, then all of the functions are eigenfunctions...similarly, the potential energy operator [U] is just the potential energy function. In this case the function is zero so since its [U]=0 all the functions are eigen functions...
given the following functions:
Which are eigenfunctions of the position, momentum, potential energy,kinetic energy, hamiltonian, and total energy operators