Write normalized wavefunction and find energy eigenvalues

Reference no: EM13538149

A particle is constrained to stay on a frictionless circular ring of radius R. Solve the appropriate Hamiltionian for this system, write the normalized wavefunction, and find the energy eigenvalues. the particle is subject to the periodic boundary condition :

\(\Psi(\phi) = \Psi(\phi+2\pi)\)

Reference no: EM13538149

Questions Cloud

Find radius of the resulting circular path : An electron traveling at 15 m/s enters a 1.3 T magnetic field. The angle between the velocity and the field is 90o. Find the radius of the resulting circular path.

Immersed in a uniform magnetic field : The loop shown below is immersed in a uniform magnetic field that points into the page and stretches across the entire page.

Transferring electrical energy over large distances : Why do power companies use low currents in power lines when transferring electrical energy over large distances? Because power lines have resistance and resistors transform electrical energy into thermal energy. High currents would require larger p..

Create a magnetic field : Which of the following will create a magnetic field? An ion that is slowing down from 500 km/h to 400 km/h. neutron that is speeding up from 1000 m/s to 1200 m/s.

Write normalized wavefunction and find energy eigenvalues : A particle is constrained to stay on a frictionless circular ring of radius R. Solve the appropriate Hamiltionian for this system, write the normalized wavefunction, and find the energy eigenvalues.

What is the final velocity of the block-bullet combination : Block A weighs 19.9 lb and is moving toward the left with a velocity of 4 ft/s just before it is struck by the bullet B from a caliber 50 machine gun. The coefficient of kinetic friction between A and the plane is 0.25. The bullet weighs 0.10 lb a..

Solve using only biot-savart and maxwell''s equations : Four equal positive point charges, each of charge -14 C , are at the corners of a square of side 12cm.What charge should be placed at the center of the square so that all charges are at equilibrium? Solve using only Biot-Savart and maxwell's equation..

What is the frequency of the first harmonic mode : A 400 cm rope under a tension of 90 N is set into oscillation. The mass density of the rope is 170 g/cm. What is the frequency of the first harmonic mode (m = 2)?

Calculate the rotational inertia of the system : A potter's wheel (a solid, uniform disk) of mass 5.7 kg and radius 0.65 m spins about its central axis. A 2.1 kg lump of clay is dropped onto the wheel at a distance 0.41 m from the axis. Calculate the rotational inertia of the system.

User Account

All Pages