I am reading some book on quantum computing, and it mentions the Clifford group. I understand the Pauli Group and the idea that Clifford group consists of unitaries that map the elements in the Pauli group back to the Pauli group, but what are these unitaries exactly? Can you list some of them...
Hi, what is the difference between Lorentz Invariance and Lorentz Covariance?
From my lecture note (Group theory course) Invariance and Covariance where defined as follows:
Invariance: refers to the property of objects being left unchanged by symmetry operations.
Covariance: refers to...
Hi,
I am not sure if this post should be in this section. I am currently writing a report and I am using square brackets for my references i.e. [1] [2] and so on. But some of these references are books and I want to refer to a page in the book so do you think its ok to write the reference as an...
Hi, I am trying to solve the following problem (but note you can skip the details and look at the last equation and help me with the integral): a small planet (mass m) is found at rest relative to the Sun (mass M) with a separation distance x_{0}. Consider now the small planet move in response...
I heard this joke on the latest episode of the Big Bang Theory today and I thought I can share it with you. Penny tells the four guys this joke to pull their attention away from a new girl that just moved into a flat above them, and here it is:
(A physicist goes to an ice cream parlour every...
Hi, I have learned the Dirac equation recently and I managed to solve it for a free particle (following Greiner book “relativistic quantum mechanics” and Paul Strange book “Relativistic Quantum Mechanics”). I was asked to solve the Dirac equation in the stationary frame for a free particle (no...
Hi, I want to calculate the potential energy between two opposite charges (a dipole) and I know how to integrate Coulomb’s law in the polar form, i.e. in terms of “r”
\[...
Hi, I am having a hard time understanding the Lorentz - Fitzgerald contraction hypothesis (LFCH). I understand that it is a pre-relativity explanation of the null result of Michelson-Morley Experiment. My question is how did Lorentz derive the gamma factor, namely 1/sqrt(1-v^2/c^2), my...