2 votes

Distribution of states of H$_2$ gas for a given temperature

The total energy for the vibrations and rotations is just the sum of the vibrational and rotational energies, \begin{gather*} E = E_n + F_{n,J} \end{gather*} where $E_n$ is the vibrational energy and $...
Matt Hanson's user avatar
  • 3,002
2 votes

Correlation functions zero for repeated creation or annihilation operators

Okey, the zero has to come from computing the trace $$ {\rm Tr}(R_0 b_j^\dagger b_k^\dagger)=0, $$ but I don't see easily why this is the case. Here $R_0$ is the density matrix of the bath composed ...
hft's user avatar
  • 20.1k
1 vote

Can a $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry generated by $\prod_{i} \sigma^x_i$ and $\prod_{i} \sigma^z_i$ be broken in a spin-$1/2$ chain?

If you do not want to impose translation symmetry, there are trivial (but valid) examples. If the number of sites is a multiple of 4, $$ H = -\sum_{i \text{ even}} (\sigma^x_i\sigma^x_{i+2} + \sigma^...
Nandagopal Manoj's user avatar
1 vote

Density of states - as a function of electron velocity

Consider electron gas moving in 1D ring with length $L$(in thermodynamic limit the boundary effects are not important), with periodic boundary condition, the single particle state can be written as: \...
Yakumo Ran's user avatar

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