Answered: The perturbation [b(a-x) H'= -a | bartleby

Related questions

Question

The perturbation
Sb{a-x)
H'=
-a <x <a
otherwise
acts on a particle of mass 'm' confined in an infinite square well potential
-a <x <a
V(x)={
otherwise
The first order correction to the ground state energy ofthe particle is
ba
(a)
2
ba
(b) J2
(c) 2ba
(d) ba

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Show that the probability associated with the state Ψn for a particle in a one- dimensional box 0≤ x≤ L obeys the following relationship: (You can see the picture attached for the problem)
WHY DOES THE WAVE- FUNCTION GO TO ZERO AS X GOES TO * INFINITY ?
2) ( Consider an electron trapped in a one-dimensional anharmonic potential. The Hamiltonian for this system is given as: H mw?£? + 2m + B&3 . Regarding the cubic term as being small, apply non- degenerate perturbation theory by letting the perturbation be: A, = ß2³. а) Calculate to first order the ground state energy of this anharmonic oscillator. b) ( | Calculate to second order the ground state energy of this anharmonic oscillator. c) ( Find the lowest order correction to the ground state wave function.
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 hydhogen athm is m t's grand state cnzlD - Usmg Bohlite the orbit. the radiug Athe linea momentum Calanlate (a of the elechon the anfular momentum of the electron ( athe kinetic eneryy ethe putential energy ans O he folal energy.
3
2. Consider a particle of mass m in an infinite square well, 0(≤ x ≤a). At the time t = 0 the particle is in the ground (n = 1). Then at t> 0 a weak time-dependent external potential is turned on: H' = Axe T