Problem 2.8 A particle of mass m in the infinite square well (of width a) starts out in the state (x,0)= JA. 0≤x≤a/2. 10. a/2 ≤x≤a, for some constant 4, so it is (at t = 0) equally likely to be found at any point in the left half of the well. What is the probability that a measurement of the energy (at some later time f) would yield the value ²²/2ma²?
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- Problem #2 Calculate the Legendre transform (F1) of y = x². For your answer, give the new function F1 and its derivative dF1. (a(f(x)) Note that dy = C dx, C, = f(x), and dC, = (0) dx. dxI just need help for part a. Question 3. (Hamilton and Lagrange formalism)Please, I want to solve the question correctly, clearly and concisely
- Please solve the problems..4Exercise 6.4 Consider an anisotropic three-dimensional harmonic oscillator potential acy = { m (w² x ² + w} y² + w? 2²). V (x, y, z) = = m(o² x² + @z. (a) Evaluate the energy levels in terms of wx, @y, and (b) Calculate [Ĥ, Î₂]. Do you expect the wave functions to be eigenfunctions of 1²? (c) Find the three lowest levels for the case @x = @y= = 2002/3, and determine the degener- of each level.
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- 1.2 It is given that the primitive basis vectors of a lattice are: a = 3%, b= 3ý and c=&+ŷ +i) What is the Bravais lattice?Question related to Quantum Mechanics : Problem 3.72.03 Given f(x) = +1, 2 + sin(Tx) that is defined over [1, 6] with a step (h= 1). Using the N.G.F. function differences Interpolation. The first :derivative of P2(s) at x=3 is None of them 32 O 12 O 25 O