3. Correspondince between classical and quantum mechanics (a) Assuming the Hamilton operator HV(c) show that This...
3. Correspondince between classical and quantum mechanics (a) Assuming the Hamilton operator HV(c) show that This problem can be solved very similarly to what we had done in class for 2). Note that for this you may want to expand the potential energy operator V() in terms of the position operator x as V( a1+ After having dealt with the first few terms of the expansion, you probably will realize that it may be useful to find a general expression for ,p. I suggest to use induction to prove your hypothesis. (3 points) b) Which classical equation of motion does this correspond to? Note at least 1 point 2 a2. one caveat of this correspondence.