PLEASE ANSWER ALL PARTS AND BE AS NEAT AND AS CLEAR AS POSSIBLE. THANK YOU
PLEASE ANSWER ALL PARTS AND BE AS NEAT AND AS CLEAR AS POSSIBLE. THANK YOU (a)...
Need the answer for b) 1. The idea of a quantum fluctuation is central to much of physics, including cosmology; for example, it is believed that the current structure of the Universe arose from small initial quantum fluctuations that were stretched out during a period of rapid Universal expansion called inflation. As we will discuss later, it turns out that we can represent quantum systems as an infinite collection of harmonic oscillators. For each of the harmonic oscillators, the amplitude...
Need the answer for c) 1. The idea of a quantum fluctuation is central to much of physics, including cosmology; for example, it is believed that the current structure of the Universe arose from small initial quantum fluctuations that were stretched out during a period of rapid Universal expansion called inflation. As we will discuss later, it turns out that we can represent quantum systems as an infinite collection of harmonic oscillators. For each of the harmonic oscillators, the amplitude...
Need the answer for a) 1. The idea of a quantum fluctuation is central to much of physics, including cosmology; for example, it is believed that the current structure of the Universe arose from small initial quantum fluctuations that were stretched out during a period of rapid Universal expansion called inflation. As we will discuss later, it turns out that we can represent quantum systems as an infinite collection of harmonic oscillators. For each of the harmonic oscillators, the amplitude...
10. A harmonic oscillator with the Hamiltonian H t 2m dr? mooʻr is now subject to a 2 weak perturbation: H-ix. You are asked to solve the ground state of the new Hamiltonian - À + in two ways. (a) Solve by using the time-independent perturbation theory. Find the lowest non- vanishing order correction to the energy of the ground state. And find the lowest non vanishing order correction to the wavefunction of the ground state. (b) Find the wavefunction...
Problem #1 The explicit wavefunction for a particle in the n-1 state of the quantum harmonic oscillator is p1(x)- Axe-bx2 where mo 2h and ?1/4 (Note: In last week's homework there was an "h" where there should have been ?. This has been corrected in this week's assignment.) (a) By applying the lowering operator to ),obtain an explicit form for o(x) (i.e. the n-0 wavefunction) (b) By applying the raising operator to x), obtain an explicit form for p2(x) (i.e....
I need part c please :) 2. What makes the operators a and a', defined in problem 1 e, of the last homework, useful, is that they make it easy to manipulate the solutions to the harmonic oscillator. The general behavior of the operators when they operate on harmonic oscillator wavefunctions, yv, is as follows: a' SQRT(v+1) i.c., operating with a' on one of the harmonic oscillator eigenfunctions, ww, converts it to the next highest eigenfunction, ψν+1-Therefore at is...
pls send answer ASAP , in less than an hour if possible. 2h Question 20 marks Soalan 2 [10 markah) Harmonic oscillator problem can be solved based on operator and algebraic method where operators are given as a = (x + and a = (x 2) (a, and a is raising and lowering operator respectively) a) Prove that the commutator (a.a.) = 1. (Hints: Use commutator identities, lx.pl = ih and (x,x) = p.pl=0) [3 marks) b) Show that the...
Please do this problem about quantum mechanic harmonic oscillator and show all your steps thank you. Q1. Consider a particle of mass m moving in a one-dimensional harmonic oscillator potential. 1. Calculate the product of uncertainties in position and momentum for the particle in 2. Compare the result of (a) with the uncertainty product when the particle is in its the fifth excited state, ie. (OxơP)5. lowest energy state. Q1. Consider a particle of mass m moving in a one-dimensional...
Please answer all parts. Thank you Problem IIA In the circuit shown in Figure IIA-(a), a load element (R ohm) is energized by a current source that varies with time as illustrated. FIGURE IIA + V = BI(t) + 12 Vit) C v(t) 1/2 T Vm a. Deduce the wattage W = (W1 + W1) corresponding to power supplied to the load over the total period of T sec (with W1 in the interval, t = 0 to T/2 and...