Answered: Postulates of quantum mechanics… | bartleby

Related questions

Question

Postulates of quantum mechanics

Angular momentum

Postulate 2: Operators as a representation of dynamic variables.

The operators corresponding to two components of the angular momentum do not commute.
The operator corresponding to the square of the angular momentum commutes with any of its components

Prove both, using the z component.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

7. Consider a particle in an infinite square well centered at x = 0 in one of its stationary states. For this problem, you may look up any integrals. Some useful ones are given in Harris. a) Compute (x) and (pr) for arbitrary n. Do this by direct computation but then describe how you could have found these results using symmetry (the symmetry can either be symmetry in the physical system, such as the shape of the wave function, or symmetry related to the expectation value integral, such as the shape of the integrand). b) Using your answer to part a), show that the uncertainty in the momentum is Apx nh for arbitrary n. Do this two ways: (i) first by using your answer to part a) and directly computating (p2) (via an integral) and (ii) by using your answer to part a) and relating (p2) to the kinetic energy operator. c) Show that the uncertainty principle holds for the ground state. 2L -
18. In differential form, what is the kinetic energy operator equal to? Does this depend on the problem that you are solving in quantum mechanics? What is the eigenvalue spectrum for this operator?
Review schrodinger equations not dependent on 3D time in ball coordinates -v² + V(f) ) µ(F) = E Þ(*) 2m i = (r, 0, 4) V (f) = V(r). and E is the energy system. Assume the potential is only radial function To solve the Schrodinger equation above apply the method With y(r, 0, q) = R(r)P(0)Q(9) variable separation problem : Specify a common solution (r, 0,0) for l = 0 and V(r) = 0
None