Answered: Consider two identical lincar… | bartleby

Related questions

Question

Consider two identical lincar oscillators with spring constant k. The
interaction potential is given by H = €#1#2, where r, and a2 are oscillator
variables.
(a) Find the exact energy levels.
(b) Assume e « k. Give the energy levels to first order in ɛ/k.

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A proton is in an infinite square well potential given by Equation 6-21 with L = 1 fm.(a) Find the ground-state energy in MeV. (b) Make an energy-level diagram for this system. Calculate the wavelength of the photon emitted for the transitions (c) n = 2 to n = 1, (d) n = 3 to n = 2, and (e) n = 3 to n = 1.
-h? d? 3. Find average value of kinetic energy, for ground state of the harmonic 2µ dx? oscillator. The unnormalized wavefunction of oscillator is given by: y,(x)= e k Express your answer in terms of the oscillation frequency, @= where a=
Consider the 1D time-independent Schrodinger equation ħ² ď² 2m dr² with the potential where to is a parameter. (a) Show that V(x) = +V(x)] = Ev v is a solution of the Schrodinger equation. ħ² mx² sech² 1 = A sech x xo (₁)
In which situation's would angular acceleration be negative? Select all that apply 1. An object is at rest and is starting to rotate clockwise 2. An object is rotating clockwise and speeding up 3. An object is rotating clockwise and speeding up 4. An object is rotating counterclockwise and slowing down
You are given a free particle (no potential) Hamiltonian Ĥ dependent wave-functions = -it 2h7² m sin(2x) e = V₁(x, t) V₂(x, t) 2 sin(x)e -ithm + sin(2x)e¯ What would be results of kinetic energy measurements for these two wave-functions? Give only possible outcomes, for example, it is possible to get the following values 5, 6, and 7. No need to provide corresponding probabilities. ħ² d² 2m dx2 and two time- -it 2hr 2 m
40. The first excited state of the harmonic oscillator has a wave function of the form y(x) = Axe-ax². (a) Follow the
Consider a weakly anharmonic a 1D oscillator with the poten- tial energy m U(x) = w?a² + Ba* 2 Calculate the energy levels in the first order in the small anharmonicity parameter 3 using TIPT and the ladder operators.