Very confused by this problem, please help! Thanks!
Very confused by this problem, please help! Thanks! Ae-ax72 directly into the Schroedinger equation, as Show...
-ax²12 directly into the Schroedinger equation, as broken down in the following steps. Show that the energy of a simple harmonic oscillator in the n = 0 state is 1ho/2 by substituting the wave function wo = Ae First, calculate dvo/dx, using A, x, and a. dyo/dx = Second, calculate dvo/dx?, using A, x, and a. dyo/dx2 = Third, calculate a?x?wo-dayo/dx?, using A, x, and a. a3x240 - dạyo/dx? Fourth, calculate (a?x240-d2vo/dx2)/yo, using A, X, and a. (22x200-2vo/dx?)/- 1 Finally,...
Show that the energy of a simple harmonic oscillator in the n = 2 state is 5ℏω/2 by substituting the wave functionψ2 = A(2αx2- 1)e-αx2/2 directly into the Schroedinger equation, as broken down in the following steps. First, calculate dψ2/dx, using A, x, and α. dψ2/dx = .......................... Second, calculate d2ψ2/dx2, using A, x, and α. d2ψ2/dx2 = ......................... Third, calculate α2x2ψ2 - d2ψ2/dx2, using A, x, and α. α2x2ψ2 - d2ψ2/dx2 = ....................... Fourth, calculate (α2x2ψ2 - d2ψ2/dx2)/ψ2, using...
Intro to Quantum Mechanics problem: . In a harmonic oscillator a normalized "coherent" state ya(x) is defined in terms of the lowering operator a. by aXa(x) = a Xa(x) for some (complex) number a. /Coherent states have many applications in atomic, molecular, and optical physics, for instance lasers and Bose-Einstein condensates]. (a) Using the properties for any wavefunctions f(x) and g(x) that 00 00 if ag dx (a.f)g dx f a+g dx (a.)'g dx -00 -00 -00 calculate <x >...
please help! SHOW ALL WORK Can someone explain why for part b when I solve for the wavelength instead of 0.28 i get 2.81(im doing 2pi/k and have no clue why the answer is 0.28) Name Problem 4 Two waves, one with wave function D0.250 sin(2.27x 16.71), and another with wave function D2 = 0.250 sin(2.27x + 16.70, interfere to form a wave with displacement D = Di D2-Note that aff values are in SI (mks) units and angles are...
Please solve this problem by hand calculation. Thanks Consider the following system of two ODES: dx = x-yt dt dy = t+ y from t=0 to t = 1.2 with x(0) = 1, and y(0) = 1 dt (a) Solve with Euler's explicit method using h = 0.4 (b) Solve with the classical fourth-order Runge-Kutta method using h = 0.4. The a solution of the system is x = 4et- 12et- t2 - 3t - 3, y= 2et- t-1. In...
I need help with problem 3 only, please show all the calculations with details, don't just list numbers or put them on a table using excel. I need to understand how did you get each thing. Thanks HUBE 466-566-P12020(2) - Compatibility Mode 18109361685 0 - 0 X File Home Insert Draw Design Layout References Mailings Review View Help Tell me what you want to do Share Comments .T .XIIII.1.IIII.2. IIII.3. III.4IIIII.5. III.6''T'.7 Problem 4. (3 points) A U.S. investor has...
**DO IT AS PYTHON PLEASE** The Trifid Cipher General Problem Description The Trifid cipher (not to be confused with the creatures from the classic science-fiction film "The Day of the Triffids") is an algorithm that enciphers a plaintext message by encoding each letter as a three-digit number and then breaking up and rearranging the digits from each letter's encoded form. For this assignment, you will create a set of Python functions that can encode messages using this cipher (these functions...