Thread: Wave Func.

The ground state (un-normalized) wave function of a given particle is described by:

with eigenvalue . Determine what the potential is when the particle moves.

The book says the answer is:

V(x)= (1/2m)(h/2pi)^2 alpha^2{(alpha^6)(x^6)-3(alpha^2)(x^2)

Originally Posted by DiscreteW

The ground state (un-normalized) wave function of a given particle is described by:

with eigenvalue . Determine what the potential is when the particle moves.

The book says the answer is:

V(x)= (1/2m)(h/2pi)^2 alpha^2{(alpha^6)(x^6)-3(alpha^2)(x^2)

Substitute the given wave function and energy eigenvalue into the 1-d Schroedinger Equation and solve for V.