Skip to content
Merged
Changes from 2 commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
13 changes: 2 additions & 11 deletions docs/tutorials/educators/chemistry.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -538,9 +538,7 @@
"- Stores the Hermitian matrix $M_{pq}$ and antisymmetric matrix $\\Delta_{pq}$ describing a general quadratic Hamiltonian\n",
"\n",
"$$\n",
"\\sum_{p, q} M_{pq} a^\\dagger_p a_q\n",
"+ \\frac12 \\sum_{p, q}\n",
" (\\Delta_{pq} a^\\dagger_p a^\\dagger_q + \\text{h.c.})\n",
"\\sum_{p, q} M_{pq} a^\\dagger_p a_q + \\frac12 \\sum_{p, q} (\\Delta_{pq} a^\\dagger_p a^\\dagger_q + \\text{h.c.})\n",
"$$\n",
"\n",
"- Routines included for efficient diagonalization (can handle thousands of fermionic modes)\n",
Expand Down Expand Up @@ -814,14 +812,7 @@
"- The BCS mean-field d-wave model of superconductivity has the Hamiltonian\n",
"\n",
"$$\n",
"H = - t \\sum_{\\langle i,j \\rangle} \\sum_\\sigma\n",
" (a^\\dagger_{i, \\sigma} a_{j, \\sigma} +\n",
" a^\\dagger_{j, \\sigma} a_{i, \\sigma})\n",
" - \\sum_{\\langle i,j \\rangle} \\Delta_{ij}\n",
" (a^\\dagger_{i, \\uparrow} a^\\dagger_{j, \\downarrow} -\n",
" a^\\dagger_{i, \\downarrow} a^\\dagger_{j, \\uparrow} +\n",
" a_{j, \\downarrow} a_{i, \\uparrow} -\n",
" a_{j, \\uparrow} a_{i, \\downarrow})\n",
"H = - t \\sum_{\\langle i,j \\rangle} \\sum_\\sigma (a^\\dagger_{i, \\sigma} a_{j, \\sigma} + a^\\dagger_{j, \\sigma} a_{i, \\sigma}) - \\sum_{\\langle i,j \\rangle} \\Delta_{ij} (a^\\dagger_{i, \\uparrow} a^\\dagger_{j, \\downarrow} - a^\\dagger_{i, \\downarrow} a^\\dagger_{j, \\uparrow} + a_{j, \\downarrow} a_{i, \\uparrow} - a_{j, \\uparrow} a_{i, \\downarrow})\n",
"$$\n",
"\n",
"Use the `mean_field_dwave` function to generate an instance of this model with dimensions 10x10.\n",
Expand Down