Intro to quantum mechanics Q3 past paper

Could some please give detailed soltions to the following past paper Question 3. Please highlight where standard formulas (showing the formulas in bold) are used and make all methods clear explaining what has been done and why

Intro to quantum mechanics

Could some please give detailed soltions to the following past paper Question 4. Please highlight where standard formulas (showing the formulas in bold) are used and make all methods clear explaining what has been done and why.

Modern Physics: Photoelecric effect and Compton scattering

1) plancks constant and work function 2) photon energy, electron kinetic, direction

Diffraction of neutrons

3 part problem pertaining to neutrons being diffracted. (See attached file for full problem description)

3 Modern Physics problems: de-Broglie , electron Microscope

(See attached file for full problem description)

Angular Momentum

A system with is measured to have . (a)What is the probabilty of measuring ? (b) In the state , find , , and . (see attachment for question with figures)

Semi-infinite potential: Derivation of the transcendental equation for the case of E < Vo and finding the reflection coefficient for the case of E > Vo

A semi-infinite potential well is given as shown in the figure. ---------- Figure ------------------- (a) Consider the case when (0 Vo is incident from the rig ...continues

Commutation relations and the uncertainty principle

Consider two hermitian operators A and B which satisfy the following commutation relation: [A, B] = AB-BA=iC, where C is also a hermitian operator in general. Let us introduce a new operator Q defined by: Q=A+ iλB, with λ being a real number, and consider the following scalar product: Where is any normalized wave ...continues

De Broglie Hypothesis

De Broglie Hypothesis. See attached file for full problem description.

Mean position in a 1-D harmonic oscillator

Obtain the mean position, , for a particle moving in a 1-D harmonic oscillator potential, when the particle is in the state with normalized wavefunction: Y(x)= ((a/(4*pi))^.25)*(2ax^2-1)*exp((-ax^2)/2)