227 lines
9.7 KiB
Plaintext
227 lines
9.7 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"WARNING: Method definition number_particles(QEDbase.AbstractProcessDefinition, DIR, PT) where {DIR<:QEDbase.ParticleDirection, PT<:QEDbase.AbstractParticleType} in module QEDbase at /home/antonr/.julia/packages/QEDbase/gWHxL/src/interfaces/process.jl:208 overwritten in module FeynmanDiagramGenerator at /home/antonr/repos/FeynmanDiagramGenerator/src/QEDprocesses_patch.jl:23.\n",
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"ERROR: Method overwriting is not permitted during Module precompilation. Use `__precompile__(false)` to opt-out of precompilation.\n"
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]
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}
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],
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"source": [
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"using FeynmanDiagramGenerator"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"254-element Vector{VirtualParticle{GenericQEDProcess{Tuple{Photon, Photon, Photon, Photon, Photon, Photon, Photon, Electron}, Tuple{Photon, Electron}}, PT, 8, 2} where PT<:AbstractParticleType}:\n",
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" positron: \t00000000 | 11\n",
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" electron: \t00000001 | 10\n",
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" positron: \t00000010 | 01\n",
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" electron: \t00000011 | 00\n",
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" positron: \t00000100 | 01\n",
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" electron: \t00000101 | 00\n",
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" positron: \t00001000 | 01\n",
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" electron: \t00001001 | 00\n",
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" positron: \t00010000 | 01\n",
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" electron: \t00010001 | 00\n",
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" ⋮\n",
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" electron: \t11100001 | 10\n",
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" positron: \t11100010 | 01\n",
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" electron: \t11100011 | 00\n",
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" positron: \t11100100 | 01\n",
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" electron: \t11100101 | 00\n",
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" positron: \t11101000 | 01\n",
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" electron: \t11101001 | 00\n",
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" positron: \t11110000 | 01\n",
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" electron: \t11110001 | 00"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"proc = GenericQEDProcess(7, 1, 1, 1, 0, 0)\n",
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"all_particles = Set()\n",
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"for fd in feynman_diagrams(proc) \n",
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" push!(all_particles, virtual_particles(proc, fd)...)\n",
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"end\n",
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"all_particles = sort([all_particles...])\n",
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"display(all_particles)\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"Dict{VirtualParticle, Vector{Tuple{VirtualParticle, VirtualParticle}}} with 254 entries:\n",
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" positron: \t01000010 | 11 => [(photon: \t00000000 | 10, positron: \t01000010 | 01),…\n",
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" positron: \t11010000 | 11 => [(photon: \t00000000 | 10, positron: \t11010000 | 01),…\n",
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" electron: \t10100011 | 00 => [(photon: \t00000010 | 00, electron: \t10100001 | 00),…\n",
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" positron: \t11000000 | 11 => [(photon: \t00000000 | 10, positron: \t11000000 | 01),…\n",
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" positron: \t00010100 | 01 => [(photon: \t00000100 | 00, positron: \t00010000 | 01),…\n",
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" positron: \t01001000 | 11 => [(photon: \t00000000 | 10, positron: \t01001000 | 01),…\n",
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" positron: \t11000110 | 01 => [(photon: \t00000010 | 00, positron: \t11000100 | 01),…\n",
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" electron: \t10001011 | 10 => [(photon: \t00000000 | 10, electron: \t10001011 | 00),…\n",
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" positron: \t00100000 | 11 => [(photon: \t00000000 | 10, positron: \t00100000 | 01),…\n",
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" positron: \t01010000 | 11 => [(photon: \t00000000 | 10, positron: \t01010000 | 01),…\n",
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" electron: \t11101001 | 00 => [(photon: \t00001000 | 00, electron: \t11100001 | 00),…\n",
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" electron: \t00100101 | 10 => [(photon: \t00000000 | 10, electron: \t00100101 | 00),…\n",
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" electron: \t11000101 | 00 => [(photon: \t00000100 | 00, electron: \t11000001 | 00),…\n",
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" electron: \t01101001 | 00 => [(photon: \t00001000 | 00, electron: \t01100001 | 00),…\n",
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" positron: \t00101000 | 01 => [(photon: \t00001000 | 00, positron: \t00100000 | 01),…\n",
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" positron: \t00011000 | 11 => [(photon: \t00000000 | 10, positron: \t00011000 | 01),…\n",
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" positron: \t00011010 | 01 => [(photon: \t00000010 | 00, positron: \t00011000 | 01),…\n",
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" electron: \t10000101 | 10 => [(photon: \t00000000 | 10, electron: \t10000101 | 00),…\n",
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" electron: \t10000111 | 00 => [(photon: \t00000010 | 00, electron: \t10000101 | 00),…\n",
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" ⋮ => ⋮"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"pairs = FeynmanDiagramGenerator.particle_pairs(all_particles)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"280-element Vector{Tuple{VirtualParticle, VirtualParticle, VirtualParticle}}:\n",
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" (photon: \t00000000 | 10, electron: \t01001011 | 00, positron: \t10110100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00010111 | 00, positron: \t11101000 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00110011 | 00, positron: \t11001100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t10111001 | 00, positron: \t01000110 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t10110101 | 00, positron: \t01001010 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t11110001 | 00, positron: \t00001110 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t11010011 | 00, positron: \t00101100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t01001101 | 00, positron: \t10110010 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t11101001 | 00, positron: \t00010110 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t10011011 | 00, positron: \t01100100 | 01)\n",
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" ⋮\n",
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" (photon: \t01000000 | 00, electron: \t00111001 | 00, positron: \t10000110 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t00000111 | 10, positron: \t10111000 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t00011011 | 00, positron: \t10100100 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10101011 | 00, positron: \t00010100 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10000111 | 10, positron: \t00111000 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t10100101 | 10, positron: \t00011010 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t00100111 | 00, positron: \t10011000 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10001101 | 10, positron: \t00110010 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t10011101 | 00, positron: \t00100010 | 11)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"triples = FeynmanDiagramGenerator.total_particle_triples(all_particles)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"s: 40320, should be: 40320\n",
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"number of triples: 280\n"
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]
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},
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{
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"data": {
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"text/plain": [
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"280-element Vector{Tuple{VirtualParticle, VirtualParticle, VirtualParticle}}:\n",
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" (photon: \t00000000 | 10, electron: \t00001111 | 00, positron: \t11110000 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00010111 | 00, positron: \t11101000 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00011011 | 00, positron: \t11100100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00011101 | 00, positron: \t11100010 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00100111 | 00, positron: \t11011000 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00101011 | 00, positron: \t11010100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00101101 | 00, positron: \t11010010 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00110011 | 00, positron: \t11001100 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00110101 | 00, positron: \t11001010 | 01)\n",
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" (photon: \t00000000 | 10, electron: \t00111001 | 00, positron: \t11000110 | 01)\n",
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" ⋮\n",
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" (photon: \t01000000 | 00, electron: \t10100101 | 10, positron: \t00011010 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t10100111 | 00, positron: \t00011000 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10101001 | 10, positron: \t00010110 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t10101011 | 00, positron: \t00010100 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10101101 | 00, positron: \t00010010 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10110001 | 10, positron: \t00001110 | 01)\n",
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" (photon: \t01000000 | 00, electron: \t10110011 | 00, positron: \t00001100 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10110101 | 00, positron: \t00001010 | 11)\n",
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" (photon: \t01000000 | 00, electron: \t10111001 | 00, positron: \t00000110 | 11)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"function n(vp::VirtualParticle)\n",
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" if !haskey(pairs, vp)\n",
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" return 1\n",
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" end\n",
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" s = 0\n",
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" for (l, r) in pairs[vp]\n",
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" s += n(l) * n(r)\n",
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" end\n",
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" return s\n",
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"end\n",
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"\n",
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"s = 0\n",
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"for (ph, e, p) in triples\n",
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" s += n(ph) * n(e) * n(p)\n",
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"end\n",
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"\n",
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"println(\"s: $s, should be: $(length(feynman_diagrams(proc)))\")\n",
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"println(\"number of triples: $(length(triples))\")\n",
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"\n",
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"sort(triples)"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.10.4",
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"language": "julia",
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"name": "julia-1.10"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.10.4"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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