Thank you for the reply. It helped a lot though, I have a further question after expanding around $c$ i obtain a generator of the form -\frac{1}{2} -\mathbf{x}\cdot D where D is the differential operator. This then gives the commutator [U,P]=\mathbf{x}.DP+P\mathbf{x}D.
and if we then choose...
I am working my way through Ballentine's Quantum Mechanics and I am stuck on the following problem.
Homework Statement
Problem 3.1 from Ballentine: Quantum Mechanics
Space is invariant under the scale transformation x\to x'=e^cx
where c is a parameter. The corresponding unitary...
I have come across fat cantor sets before and my problem was that I could not think of a closed set whose boundary had positive measure. As soon as you gave the hint the rest followed and I felt like a fool. Oh well such is the learning process. Thanks again for the help, I had been stuck on...
Homework Statement
I am trying to work my way through Analysis on manifolds by Munkres. Question 14.5 has me stumped. Any hints on how to tackle it would be appreciated. The question is:
Find a bounded closed set in \mathbb{R} that is not rectifiable
Homework Equations
A subset S of...