To show that squared momentum p 2 is a sharp observable but momentum itself is fuzzy; its relation with the classical motion of particle.

Question

A 4.90g Particle confined to a box of length L has a speed of 4.70mm/s a) lalhat is the classical Kinetic energy of Particle? the b) If the energy of the first excited State (n=2) is equal to the Kinetic energy found in part (a), what is the value Note: Answer must be in mi L? of c) Is the result found in part (b) realistic ? Explain.

Answer 1

Question

Chapter 6, Problem 7Q

To determine

To show that squared momentum p2 is a sharp observable but momentum itself is fuzzy; its relation with the classical motion of particle.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

A 4.90g Particle confined to a box of length L has a speed of 4.70mm/s a) lalhat is the classical Kinetic energy of Particle? the b) If the energy of the first excited State (n=2) is equal to the Kinetic energy found in part (a), what is the value Note: Answer must be in mi L? of c) Is the result found in part (b) realistic ? Explain.

(a). What are the energies and energy eigenfunctions for a non-relativistic particle of mass m moving on a ring of radius R as shown in Fig. (a)? (b). What are the energies and eigenfunctions if the ring is doubled (each loop still has radius R) shown in Fig. (b)? (c) If the particle has a charge q. What are the energies and energy eigenfunctions if a very long solenoid containing a magnetic flux passes the rings, as shown in Fig. (c)? Assume the system does not radiate electromagnetically. Fig. (a) Fig. (b) Fig. (c)

A particle in a one-dimensional box of length L has a kinetic energy much greater than its rest energy. What is the ratio of the following energy levels En: E2/E1, E3/ E1, E4/E1? How do your answers compare with the nonrelativistic case?