Can I get the answer for these Quantum Mechanics problems?

• problems 3.1, 3.2, and 3.3 on page 73 of it.
• Textbook: Introduction to Quantum Mechanics, 2nd edition, by David J. Griffiths (Pearson Prentice Hall, Upper Saddle River, NJ, 2005).

PROBLEMS 3.1 For each of the operators listed in Table 3.1 (D, A, M, etc.), construct the square, that is, D2, 42. .... Answer (partial) 120 = 14 =4 Op - of ax' o(x) - [ ax" [ dxo() F 2 4 = F 2 4 1 B 24 = 04 p24 = P( Pp) = (43 -342 -4)3- 3(3 - 342-4)2-4 3.2 The inverse of an operatorIA is written A . It is such that A Ay = 14 =4 Construct the inverses of D, 1, F, B, O, G, provided that such inverses exist. 3.3 An operator O is linear if O(ap] + by2) = a041 + 6042 where a and b are arbitrary constants. Which of the operators in Table 3.1 are linear and which are nonlinear?apter 1 The Wave Function Problem 1.6 Why can't you do integration-by-parts directly on the middle expres- sion in Equation 1.29-pull the time derivative over onto x, note that a.x/at = 0, and conclude that d (x) /dt = 0? *Problem 1.7 Calculate d(p) /dt. Answer: d(p) av [1.38] ax Equations 1.32 (or the first part of 1.33) and 1.38 are instances of Ehrenfest's theorem, which tells us that expectation values obey classical laws. Problem 1.8 Suppose you add a constant Vo to the potential energy (by "constant" I mean independent of x as well as ?). In classical mechanics this doesn't change anything, but what about quantum mechanics? Show that the wave function picks up a time-dependent phase factor: exp(-i Vor/h). What effect does this have on the expectation value of a dynamical variable?which neither position nor momentum is well defined: Equation 1.40 is an inequal- ity, and there's no limit on how big ox and op can be-just make V some long wiggly line with lots of bumps and potholes and no periodic structure. *Problem 1.9 A particle of mass m is in the state V(x. 1) = Ae-a[(mx'/h) +i1] where A and a are positive real constants. (a) Find A. (b) For what potential energy function V(x) does I satisfy the Schrodinger equation? (c) Calculate the expectation values of x, x2, p, and p2. (d) Find of and op. Is their product consistent with the uncertainty principle? HER PROBLEMS FOR CHAPTER 1 Problem 1.10 Consider the first 25 digits in the decimal expansion of I (3, 1, 4