Translation operator problems.
The translation operator S(a), for arbitrary constant real vector a, is defined such that... a) Show, using the Taylor expansion of Φ(x-a) about x, that S(a) may be expressed in terms of the momentum operator p=.. Sum the expansion to give a simple closed-form expression for S(a). Please see attached for full question ...continues
Consider a 1-D free particle, describable as a wave packet at initial time t0.
a) Show, applying Ehrenfest's theorem, that is a constant.
b) Write the equations of motion for the mean values
Accuracy of first order theory
Problem 20 The finite size of the proton perturbs the energy of the n=1 orbit in a hydrogen atom. (i) Given the proton to be a uniformly charged sphere... (see attachment)
Heisenberg Uncertainty Principle
Calculate the uncertainty in position of an electron that has been accelerated across a potential difference of 100 kV +/- 100 V. Hints: Derive an expression for the momentum as a function of the voltage (potential difference) and differentiate. Also dV may be represented by the uncertainty in the voltage (i.e. +/- 100 volts ...continues
a) Briefly describe the field of physics known as quantum mechanics. How are quantum mechanical principles related to radiation science? b) Briefly describe the significance of Schroedinger's Cat to quantum mechanics.
Electron: selection rule, states reached in second order?
An electron exists in its ground state in a one-dimensional box with infinite walls.... see attachmetn
Hi This problem makes me confuse, would you help me abut that: A NASA satellite has just observed an asteroid that is on a collision course with the Earth. The asteroid has an estimated mass, based on its size, of 5 X 10^9 Kg. it is approaching the Earth on a head-on course with a velocity of 600 m/s relative to the Earth a ...continues
Hi I need your help about this problem. Would you help me? A 900 kg Geo collides into the rear end of a 2000 kg Lexus stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 4.5 m before stopping on the horizontal road. The police officer, knowing that the coefficient of ...continues
A body oscillates with simple harmonic motion along the x-axis.Its displacement varies with time according to the equation x=5(pi/t +pi/3).The velocity(in m/s)of the body at t=1second is? is it V=-5PI M/S SIN(4PI/3)=-13.6 ? note by pi=3.14
Infinite Square Well - Griffith's second edition of Introduction to Quantum Mechanics.
Problem 2.37
A particle in the infinite square well (Equation 2.19) has the intitial wave function
ψ(x,0) = Asin³(πx/a) (0≤ x ≤a).
Determine A, find ψ(x,t) and calculate
