Find allowed values of p and angular momentum

Reference no: EM131028538

A very naive, but partially correct, way to understand quantization of angular momentum is as follows. Imagine that a particle is confined to travel around a circle of radius r. Its angular momentum about the center is then ±rp, where p is the magnitude of its linear momentum at any moment. Let s be a coordinate that labels the position of the particle around the circle so that s ranges from 0 to 2Πr. The wavefunction of this particle is a function of s. Now suppose that the wavefunction is sinusoidal, so that p is well defined. Using the fact that the wavefunction must undergo an integer number of complete oscillations over the entire circle, find the allowed values of p and the allowed values of the angular momentum.

Reference no: EM131028538

Questions Cloud

Find the condition for the modulus n : Is Phil's answer correct? If not, which step in Phil's reasoning is incorrect? Explain what is wrong with it and find the (correct) solutions for the equation 2x+6 ≡ 4 (mod 8) .

Draw the respective truth table : Write the boolean expression for it. Please show all the steps and explain your development with your own words.

Find the disjunctive normal form of the polynomial : ow many orderings are there of the letters of the word STRAWBERRYALARMCLOCK ?

Calculate the momentum of such an electron : The electrons in a television picture tube are typically accelerated to an energy of 10,000 e V. Calculate the momentum of such an electron, and then use the de. Broglie relation to calculate its wavelength.

Find allowed values of p and angular momentum : The wavefunction of this particle is a function of s. Now suppose that the wavefunction is sinusoidal, so that p is well defined. Using the fact that the wavefunction must undergo an integer number of complete oscillations over the entire circle, ..

What is a group homomorphism : Let G, G1, and G2 be groups. Let µ1 : G -> G1 and µ2 : G -> G2 be group homomorphisms.

Find the mean for the grouped data : Using the employment information in the table on Alpha Corporation, find the mean for the grouped data.

Determining the resultant couple moment : Two couples act on the frame. If d = 4 , determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple (Eq. 4-13) and (b) summing the moments of all the force co..

Determining the distance : Two couples act on the frame. If the resultant couple moment is to be zero, determine the distance d between the 40-lb couple forces.

User Account

All Pages