3. Normalize the following 2s wavefunction: (r, 0, 0) = (2 - +).(+), where 0≤r≤0, 0≤0≤n, 0≤0≤2n,
Q: Q17. A free particle described by a plane wave and moving in the positive z -direction undergoes…
A: Given: A free particle having potential, Vr=V0,r≤R0,r>R To find: Differential scattering…
Q: 5. Kittel Ch3-7. Zipper problem. A zipper has N links; each link has a state in which it is closed…
A:
Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below…
A: We know that the exponential formula of trigonometry of sinA sinA=[e(iA)-e(-iA)]÷(2i) By using this…
Q: -iwit, The wave function is given by (x, t) = c[3e-i@it&1(x) + 4e-iw2t¢2(x)] where 1(x) and 2(x) are…
A: So we will basically calculate the average of energy by doing normalization. Then the square of the…
Q: 3. Given the initial wavefunction ¥ (x, 0) = A x exp (- k x ) with x > 0 and k > 0, and ¥ (x, 0) = 0…
A:
Q: 32. Check the normalization of ψ0 and ψ1 for the harmonic oscillator and prove they are orthogonal.…
A: To find the normalization constant C0 and C1 and check the orthogonality of the two wavefuction
Q: 2. Using the normalization condition, calculate the constant wave function c = (| - 2.
A: Given: The normalized wavefunction is given as: ψ>=c2-2i
Q: 2. Consider the raising and lowering operators of a one-dimensional harmonic oscil- lator, â = √√(q…
A: I have written some important formulas
Q: 2. Find the group and phase velocity of a guided mode in a hollow waveguide. (i) Show that their…
A:
Q: a 2 otherwise
A: The calculation is shown below,
Q: nowing the wavefunction |2,0 ) = sine -sin® alculate |2,1 )
A: f(x , t)= A SIN (KX - ωt) f(2, 0) = 6/7π SINθ A= 6/7π here x= 2 t=0
Q: Ax(x L) from x = 0 to x = L, and y <=0 everywhere else. (a) What is the value of A? (b) What is the…
A:
Q: 8. A periodic function is defined as follows: f(t) = { (3 for-1<t <0 for 0 < t < 1 16 i. ii. iii.…
A: We have given a periodic function of time period 2 then we can express by the Fourier series as…
Q: Q4. Proof that the probability current for a wavefunction of the form (a) j = R(x)|² h ³s(x) m əx…
A: Since we answer up to one question, we will answer the first question only. Please resubmit and…
Q: a) Identify and compare between photonic crystal fiber and conventional optical fiber. b) Label and…
A: The optical fibers are used for transmitting signals from one end to another. There are different…
Q: Normalize the wavefunction from x = −∞...x = Ne-a² Given that:fe-2² dx = 2
A: The wavefunction is given byN = Normalization constantNow the normalization conditions for the…
Q: Are these acceptable wavefunctions in the range x = -infinity to infinity? If so, please explain.…
A:
Q: A rock is thrown straight up with an initial velocity of 2.2 * 10' m/s. What maximum height will the…
A:
Step by step
Solved in 2 steps with 2 images
- 3. A system of N harmonic oscillators of frequency w are prepared in identical initial states of wavefunction Þ(x,0). It is found that the measurement of the energy of the system at t = 0 gives 0.5hw with probability 0.25, 1.5hw with probability 0.5 and 2.5hw with probability 0.25. a. Write a possible function p(x, 0). b. Write the corresponding (x, t). c. What is the expectation value of the Hamiltonian in the state p(x,t) ? d. Calculate the expectation value of position at time t16. Consider the wave function Mx) = (alT)" exp(-ax12) Calculate (x) for n = 1, 2. Can you quickly write down the result for (")?11. Calculate the normalization constant for the wavefunction nπ Yn(x) = sin x. L