# Recent Content by samalkhaiat

1. Post

### A Law of transformation of vectors due to rotations

As a classical vector on the relevant index space (in your case vector on \mathbb{R}^{3}), V^{\mu} transforms exactly like the coordinates do,...
Post by: samalkhaiat, Jan 19, 2018 at 5:39 PM in forum: Quantum Physics
2. Post

### A Is the Berry connection compatible with the metric?

"I prefer to pass". :smile:
Post by: samalkhaiat, Jan 6, 2018 in forum: Quantum Physics
3. Post

### A Why do space translations satisfy the Wigner's Theorem?

Define T_{a} | x \rangle \equiv |x + a \rangle \ . Then calculate the action of operator T_{a} on the wavefunction as follows...
Post by: samalkhaiat, Dec 30, 2017 in forum: Quantum Physics
4. Post

### Other Books by Physics Forums Members

Hahaha, I hope it will be finished before I die.
Post by: samalkhaiat, Dec 30, 2017 in forum: Science and Math Textbooks
5. Post

### Insights Mathematical Quantum Field Theory - Fields - Comments

This is not correct. Notions such as completeness (by a norm) and continuity (i.e., boundedness) of any element of an operator algebra need to be...
Post by: samalkhaiat, Dec 22, 2017 in forum: Quantum Physics
6. Post

### I Hilbert space and conjugate of a wave function

Both are Schrodinger equations. If you write \psi = \psi_{1} + i \psi_{2}, you find that the Schrodinger equation and its complex conjugate...
Post by: samalkhaiat, Dec 22, 2017 in forum: Quantum Physics
7. Post

### Insights How to Tell Operations, Operators, Functionals and Representations Apart - Comments

When G is a (Lie) symmetry group of the physical system, the dynamical variables of the system transform in some unitary representation \rho of G,...
Post by: samalkhaiat, Aug 24, 2017 in forum: General Math
8. Post

### Insights How to Tell Operations, Operators, Functionals and Representations Apart - Comments

In physics, an infinitesimal generator (mostly of a symmetry group) is related to what mathematicians call a derivation or vector field. We always...
Post by: samalkhaiat, Aug 21, 2017 in forum: General Math