Answered: For a simple harmonic oscillator… | bartleby

Related questions

Question

Q1
For a simple harmonic oscillator particle exist up to the second excited state (n-2). N
what is the matrix representation for the linear momentum. Take The Ladder
operators properties, where la,n) = vn +1m+ 1), andja_n) = nvn- 1)
%3D
!3!
1
%3D
(P t imwx)
Vzm
Where

Expert Solution

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

By taking the derivative of the first equation with respect to b, show that the second equation is true. Use this result to determine △x and △p for the ground state of the simple harmonic oscialltor.
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.
a) For a particle described by the wavefunction in Equation (1), show that the expectation values for momentum and momentum-squared are given by shown in image b) For the same particle, show that the expectation values for position and position-squared are given by shown in image
show that the following wave function is normalized. Remember to square it first. Show full and complete procedure