12:31 AM
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Let us consider the statistical physics of a single particle (without spin) moving in a magnetic field described by a vector potential $\vec{A}$ at a finite temperature $1/\beta$ on a $2$-dimensional plane with a Hamiltonian $H\left((\vec{p}-e\vec{A}),\vec{x}\right)$. In the classical regime, i...

4 hours later…
4:24 AM
in Mathematics, 1 min ago, by Secret
We just have open sets defined in terms of what features its convergent sequences have

5:20 AM
in Mathematics, 20 mins ago, by krauser126
I.e. what if we have 3 pawns, 2 rooks, 2 bishops and we are putting them on an 8x8 board such that no two pieces of the same type are in the same row or column.

5:33 AM
in Mathematics, 2 mins ago, by krauser126
Is this correct: if we just look at the rook (lets assume t = 2) then each rook position is denoted by (2, x , y) so with the first rook, you have 4 slots for x, 4 slots for y, then for the second rook you either have 4 slots for x and 3 slots for y or 3 slots for x and 4 slots for y. So you have (4x4)[(4x3) + (3x4)] = 384
Chess move modelling problem using coordinates and parametrisation

4 hours later…
9:56 AM
0

My question is in reference to the paper "Three dimensional visualization of a qutrit"(https://arxiv.org/abs/1601.07361). The author's start with a symmetric two qubit density matrix written in the form $\rho = \frac{1}{4}\left(I\otimes I +\sum_{j}(a_j\sigma_j\otimes I + a_jI\otimes \sigma_j)+ \... 2 hours later… 12:17 PM 0 I am trying to apply covariance property on this Quantum adder transformation in which a two particle input state is mapped onto a two particle output state. I am trying to represent these states into a bloch sphere density operator and apply the covariance condition to the same. I don't know how... 12:57 PM probabilistic p-bit computers 1:57 PM 0 In Schroedinger equation, which is second order differential equation, one normally, equates both$\psi(x)$and$\psi'(x)$across the boundary, as boundary conditions. However, the dirac equation is a first order differential equation. So, if one were to have a dirac equation like$\gamma^{\mu...