Quantum Man: Richard Feynman's Life in Science

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Quantum Man: Richard Feynman's Life in Science Page 30

by Lawrence M. Krauss


  New York Times, 292–93

  New York Times Magazine, 287

  Nobel Committee, 170–71, 230–31

  Nobel Prize, xii, xiv, 19, 31–32, 39, 41, 74, 84, 94, 106, 124, 125, 143, 156, 159, 170–71, 186, 190, 202, 209, 218, 219–20, 222–23, 229–32, 235, 241, 265, 268, 270, 271–72, 293, 300, 305, 307, 310

  nodes, 54

  Noether, Emmy, 199–200

  Noether’s theorem, 199–200, 204

  nonzero energy, 174

  nonzero probabilities, 52, 55, 72

  nonzero spin, 120

  North Pole, 203–4

  nuclear democracy, 291–92, 305–6

  nuclear physics, 20, 46–47, 67–68, 72, 74, 76–95, 108, 122, 163–64, 178, 194, 239, 273–74, 283

  nuclei, atomic, 84, 107, 294

  nucleons, 178–79

  numbers:

  atomic, 66

  complex, 116

  as integers, 100, 175, 178–79, 291

  negative, 97, 103

  prime, 284, 285–86

  quantum, 200–201

  number theory, 9

  Oak Ridge Laboratory, 90

  Occhialini, Giuseppe, 106–7

  Oersted, Hans Christian, 28

  Olum, Paul, 68

  omega-minus particle, 290, 292, 293

  Onnes, Kamerlingh, 170–72, 174, 263

  Onsager, Lars, 186, 190–92

  Oppenheimer, J. Robert, 78–80, 90–91, 92, 105–6, 122, 148, 149, 154, 155, 156, 241

  orbital gravitation, 203–4

  O-ring failure, xv, 309

  Osheroff, Douglas, 227

  parallel processors, 276–77, 283

  parity flips, 212

  parity nonconservation, 204–5, 206, 207–8, 210–17

  particle accelerators, 154, 169, 200, 292–300, 305, 312

  particles, subatomic, 4–5, 28–35, 38, 39–42, 113–14, 120–21, 133–40, 166, 173–79, 193–94, 197–98, 200–202, 205–6, 208–11, 220, 263–64, 287–309, 315–16

  decay of, 104–5, 193–94, 200–201, 205–6, 207, 208, 210, 211–15

  paths of, 14–17, 48–50, 52–58, 65, 69–70, 73–74, 97, 99, 100–104, 107, 117–18, 126–28, 145–46, 153, 154, 176, 178–79, 185, 193–94, 210–12, 256–57, 309–10

  strange, 196, 200–201, 202, 205–6, 273, 291–92, 305

  see also specific particles

  partons, 295–96, 298, 299–300

  Pasteur, Louis, 296

  path-integral formalism, xiii, 73, 210–12, 255–57, 283–84, 309–10

  pattern recognition, 277–78

  Pauli, Wolfgang, 39–40, 100–101, 105–6, 110–11, 139–40, 209

  Pauli exclusion principle, 100–101, 105–6

  phase transitions, 116–17, 190–92

  phenomenological model, 180–82

  philosophy, 71, 276

  photons, 28–32, 114, 130–31, 134, 137, 201–2, 246–47, 249, 260, 301–2, 303

  Physical Review, 20, 98, 152–53, 200–201, 290, 292

  physical signatures, 240

  physics:

  astro-, 20, 82–85, 106–7, 239, 240, 255–61

  classical, 24, 27–28, 30–31, 37–38, 47, 48, 52–53, 56, 58, 62, 63, 71, 72–73, 100, 131, 142, 173, 224–25, 238, 239, 243, 245–46, 265, 278–81, 282

  of dense materials, 172–79, 181–82, 183, 190–91

  experimental, 19–20, 25–26, 30, 35, 38, 41, 66, 67–68, 81, 85–86, 168–69, 171–72, 193–96, 208, 209, 235–38, 245, 283, 293–300, 312–13

  formalism in, 49–50, 59–65, 73, 97, 99, 117–18, 126–28, 130–46, 150–54, 158, 176, 178–79, 185, 196, 210–12, 214–16, 219, 256–57, 299–300, 309–10

  kluges used in, 198, 210, 215–16, 301, 310

  laws of, 13–14, 30–32, 192, 193, 199–200, 209–10, 223–24, 241–42, 252, 255–57, 269–72, 278–81, 282, 293, 310–13

  nuclear, 20, 46–47, 67–68, 72, 74, 76–95, 108, 122, 163–64, 178, 194, 239, 273–74, 283

  paradox and inconsistency in, 23, 30–32, 34–35, 36, 70, 71–73, 75, 88

  particle, see particles, subatomic

  theoretical, 39–42, 66, 68–69, 73–75, 85–86, 110–11, 118–19, 141–42, 168–69, 193–97, 208, 234–38, 263–64, 283, 286, 287–305, 311–13

  unitary approaches in, 145, 178–79

  see also quantum mechanics

  Physics Letters, 290

  Physics of Star Trek, The (Krauss), 265

  pions, 205, 210, 212–13

  Planck’s constant, 26–27, 63

  plutonium, 84, 86

  Pocono conference (1948), 144–46, 157

  point particles, 100–102

  Politzer, David, 306–7, 312

  polyhedra, 289

  polymers, 271

  Popov, Victor, 304

  positive energy, 102–3, 114, 174

  positive probabilities, 53–54

  positrons, 106–7, 110–11, 113–14, 131–40, 144–46, 197–98

  potential energy, 15–16, 49–50, 257–59, 309–13

  predictions, 71–72, 102–3, 118, 128–29, 138–40, 150–54, 158–59, 201–2, 246, 252–54

  prime factorization, 285–86

  prime numbers, 284, 285–86

  “primeval atom” model, 240

  Princeton University, 22–23, 30–32, 36–50, 59–65, 66, 67–68, 74, 77, 79, 81, 96, 164

  “Principle of Least Action in Quantum Mechanics, The” (Feynman), 74, 97–98

  probability, 41, 48, 52, 53, 54–58, 62–64, 69–70, 72, 97, 99, 116–17, 145–46, 183, 278–79, 280, 283–84

  probability amplitudes, 54–58, 62–64, 69–70, 99, 116–17

  probability waves, 183

  processors, computer, 276–77

  Progress in Theoretical Physics, 148–49

  proportionality, 60–61

  protons, 66, 100, 103, 104–5, 173, 178–79, 207, 291, 294–95, 297–98, 300, 302, 305, 312

  pseudoscalar (P) interaction, 212

  psychology, 14, 16, 59, 65

  Putnam score, 21–22

  Pythagorean theorem, 9

  quanta, 28

  quantized resistance, 271

  quantum bits (qubits), 283–85

  quantum chromodynamics (QCD), 305–9

  quantum electrodynamics (QED), 97–159, 169–232

  absolute zero in, 170, 174–75, 185–86

  absorption theory in, 28–32, 38, 69, 110–20 (span), 114, 121, 126, 130–31

  altered-loop configurations in, 137–39

  amplitude weight in, 63–64

  anti-electrons in, 105–7

  APS meeting on (1948), 143–44, 157

  atomic structure in, 171–79, 181–82

  axial vector (A) interaction in, 212–16, 292

  beta decay in, 194, 208, 210, 213–15

  Bethe’s finite calculations on, 122–23, 125–26, 129, 139–40, 148, 154

  Bohr’s contributions to, 61–62, 100, 112, 119–20, 145–46, 173, 186–87

  Bose-Einstein condensation in, 175–76, 180, 189

  bosons in, 102, 175, 176, 182, 184

  classical electromagnetism compared with, 47, 48, 49, 52–53, 56, 58, 62, 63, 69, 71, 72–73, 100, 131, 142, 173, 224–25, 243

  collapsed systems in, 71–72

  conference on (1947), 122–23, 124, 143

  conservation in, 199–200, 204–5, 209–10, 215–16

  Dirac’s contributions to, 59–65, 97, 102, 103–7, 108, 110–12, 114–16, 118–19, 120, 121, 124, 131, 138, 157, 158, 192, 210, 2
11, 231

  dynamic evolution of, 23–35, 38–42, 47–75, 154–59

  Dyson’s contributions to, 148–54

  electromagnetic fields in, 48–50, 52–53, 197–98, 245–46

  electron activity in, 24–25, 54–58, 97, 100–107, 111, 113–14, 126, 127, 128–40, 137, 143–44, 154–56, 157, 173–74, 181–82, 186–88, 190, 197–98, 208–10, 212–13

  electron-positron (particle-antiparticle) pairs in, 113–14, 133–40, 137, 197–98

  energy states in, 49–50, 102–6, 113, 125, 126, 151, 170–74, 177, 181–88, 189

  experimental data on, 69, 70–73, 106–7, 118–30, 138–39, 148–59, 169, 173, 180–81, 185–86, 207–17, 222–23

  “Feynman rules” in, 153, 304

  Feynman’s contributions to, 58, 59–65, 66, 68–75, 86, 97–107, 108, 113, 115–18, 120, 121–22, 124–59, 161, 163, 164, 169–210, 229–32, 238, 246, 288–89, 300, 304, 305

  Feynman space-time diagrams for, 107, 129–40, 132, 133, 134, 135, 137, 144–46, 148–54, 169, 173, 193

  finite calculations in, 138–40, 150–51, 158–59, 246

  formalism in approach to, 49–50, 59–65, 73, 97, 99, 117–18, 126–28, 130–46, 150–54, 158, 176, 178–79, 185, 196, 210–12, 214–16, 219, 256–57, 299–300, 309–10

  free particles in, 176–78

  frequency shifts in, 119–23, 124, 126

  gaseous states in, 170–76

  Gell-Mann’s contributions to, 195–208, 212, 214–17, 218, 288–89

  ground state configuration in, 183–84, 185, 186, 189

  Hamiltonian approach to, 158

  Heisenberg’s contributions to, 26–30, 65, 105–6, 111, 112, 115–16, 133, 182

  helium properties in, 101, 170–76, 178, 180, 182, 184, 186, 189–90, 288, 294–95

  hydrogen properties in, 81, 84–85, 119–23, 126, 174, 201–2

  infinite higher-order corrections in, 118, 121–22, 124–29, 131, 139–40, 150–51, 154, 158–59, 197, 231, 302

  “integrating out” process in, 73–74, 110, 127–28

  interference patterns in, 25–26, 54–55, 71, 174, 175

  irrationality of, 51–58

  irrotational states in, 186–87, 289

  kinetic vs. potential energy in, 49–50

  K-mesons (Kaons) in, 205–6, 207, 210

  Kosterlitz-Thouless transition in, 191–92

  K-zero particles in, 201–2

  Lagrangian formalism in, 59–65, 97, 117–18, 157

  Lamb shift in, 119–23, 124, 125, 128, 129, 139, 140, 148

  Landau’s contributions to, 181–82, 184, 187–88, 190

  least action principle in, 14–17, 49–50, 56–57, 62, 69, 73–75, 97–98, 126–27

  least time principle in, 11–14, 18, 57–58

  lowest-order predictions in, 128–29, 150–54, 246

  for low temperature states, 170–74, 181–85, 187–88

  macro-vs. microscopic levels of, 40–41, 71, 171–79, 180, 181–82

  magnetic field lines in, 190–91

  magnetic moment of electrons in, 128–29, 143–44

  mass-energy conversion in, 102, 103–6, 113, 125, 126, 151, 177

  mathematical analysis of, 48, 49, 69, 74–75, 86, 112, 122–23, 125–26, 129–30, 131, 138–40, 145, 148–59, 169, 185–86, 188, 199–200, 211–12, 246

  measurement theory in, 70–73

  mesons in, 154–55, 169, 178, 193, 200, 205–6, 207, 210

  negative energy in, 102–3

  neutrinos in, 154–56, 194, 210–11, 213, 214–16, 219–20, 222–23

  neutron-electron interactions in, 154–56

  neutrons in, 86, 100, 154–56, 194, 201, 210, 213

  Noether’s theorem for, 199–200, 204

  nonrelativistic approach to, 122–23, 125–26

  nucleons in, 178–79

  observer problem in, 71–73

  odd vs. even (left-right or weak-strong) parities in, 204–5, 206, 207–8, 210–17

  orbital angular momentum in, 186–88, 190

  parity flips in, 212

  particle decay in, 104–5, 193–94, 200–201, 205–6, 207, 208, 210, 211–15

  particle paths in, 48–50, 52–58, 65, 69–70, 73–74, 97, 99, 100–104, 107, 117–18, 126–28, 145–46, 153, 154, 176, 178–79, 185, 193–94, 210–12, 256–57, 309–10

  path-integral formalism in, 73, 210–12, 309–10

  Pauli exclusion principle in, 100–101, 145–46

  phase transitions in, 116–17, 190–92

  phenomenological model for, 180–82

  photons in, 28–32, 114, 130–31, 134, 137, 201–2, 246, 301

  pions in, 205, 210, 212–13

  point particles in, 100–102

  polarities in, 128–29, 143–44, 203–4, 207–8, 212

  positrons in (anti-particles), 106–7, 110–11, 113–14, 131–32, 144–46

  predictions of reality based on, 71–72, 102–3, 118, 128–29, 138–40, 150–54, 158–59, 201–2, 246

  probabilities in, 48, 52, 53, 54–58, 62–64, 69–70, 97, 99, 116–17, 145–46, 183

  probability amplitudes in, 54–58, 62–64, 69–70, 99, 116–17

  proportionality in, 60–61

  protons in, 66, 100, 103, 104–5, 173, 178–79, 207

  pseudoscalar (P) interaction in, 212

  quantum coherence in, 180, 285

  quantum number in, 200–201

  quantum state in, 65, 100–104, 183–84, 186–87, 188

  quantum theory compared with, 180, 200–201, 243, 246–47, 249, 280, 285, 288–89, 300, 301, 302–3, 312

  relativity theory and, 69, 97, 99–100, 102, 110–12, 114, 117, 118, 119, 122–23, 125–26, 130, 131, 148, 159, 246–47, 249

  renormalization in, 125, 138–39, 150–51, 197–98, 231

  rest mass in, 125, 126, 151

  scalar (S) interaction in, 212, 213, 215

  Schrödinger equation for, 19, 51–52, 63, 65, 69, 97, 119–20, 121, 158, 161, 173, 188

  Schwinger’s contributions to, 122, 123, 125, 128–29, 141–45, 149, 152, 158–59, 229–30, 231, 304

  “sea of negative-energy” electrons (“Dirac sea”) in, 104–7, 114, 126, 127, 131, 157

  self-energy in, 23–24, 30, 41–42, 111–12, 115–23, 124, 136–39, 137, 150–51, 159

  speed of light in, 133

  spin as factor in, 24–25, 100–102, 116, 120–21, 128–29, 174–75, 186–88, 190, 209, 210–11

  strong vs. weak interactions in, 194, 201, 204–17, 219, 222–23

  “sum over paths” approach in, 65, 73–74, 97, 99, 117–18, 126–28, 145–46, 153, 176, 178–79, 185, 256–57

  superconductivity in, 170–72, 179, 188–89, 190, 271

  superfluidity in, 171–92

  symmetries in, 198–200, 202–11, 215–16, 302–3

  system states in, 48

  tensor (T) interaction in, 212, 213, 215

  test wave functions in, 188–89

  theory of, xii, 23–35, 38–42, 47–75, 154–59

  time direction in, xii, 34–35, 38–42, 47–48, 107, 129–40, 144–46, 148–54, 169, 173, 193

  Tomonaga’s contributions to, 148–49, 152, 229–30, 231, 304

  two-component neutrino formalism in, 215–16

  two-dimensional systems in, 192

  “two fluid” model in, 185–86

  V-A (vector-axial vector interaction in, 212–16, 292

  vacuum polarization in, 113–15, 136–40, 137, 150–51, 156–57, 159

  variational method for, 188–89

 
vector (V) interaction in, 212–16, 292

  vortex lines in, 187–88, 189–90

  wave functions in, 52–56, 70, 117–20, 173, 182–84, 185, 188–89

  Wheeler’s contributions to, 48–50

  zero-order predictions in, 102–3, 118

  quantum mechanics, 23–35, 51–75, 238–313

  algorithms for, 273, 278–79, 283, 284, 286

  antimatter in, xii, 41

  asymptomatic freedom in, 306–7, 309, 312, 319

  attractive vs. repulsive forces in, 259–60

  black holes in, 249–51, 252

  bosons in, 102, 175, 176, 182, 184, 303–5

  branes (higher dimensional objects) in, 253–54

  classical physics and, 238, 239, 243, 245–46, 265, 278–81, 282

  computer analysis of, 308–9

  computers based on, 273–86

  consistency of, 251–52

  cosmological interpretation of, 255–61

  decouplets in, 290

  deep inelastic scattering in, 298–99

  dimensions of universe in, 251–54

  eightfold way in, 289–91

  Einstein’s contributions to, 6–7, 19, 22, 27, 39–42, 60, 93, 95, 97, 102, 175, 238, 239–40, 248, 251, 280–81

  electron-proton collisions in, 297–98

  electrons in, 294, 297–98, 301

  electroweak unification in, 304–6, 312

  energy dissipation in, 247–48 281–282, 295–300, 310

  energy v. matter in, 238–39, 250–51, 257–60, 306–7, 309–13

  event horizons in, 249–50

  in expanding universe, 239–40, 257–60

  experimental results in, 240, 252–54, 257, 260–61, 290–300, 304–9, 310, 312–13

  Faddev-Popov ghost bosons in, 304

  Feynman’s contributions to, 18, 19–20, 243–62, 273–86, 288, 289, 300, 304–5, 306, 307–13, 319

  Feynman space-time diagrams for, 252–53

  Feynman test for, 309–13

  field theory and, 238–39, 247, 252–53, 261–62, 287–88, 311–13

  finite theory (effective theory) in, 310–12

  flat space in, 258–60

  formalism in approach to, 299–300

  gauge bosons in, 303–5

  gauge invariance in, 301–5

  Gell-Mann’s contributions to, 243–44, 256–57, 287–305, 312

  geometry of, 244–45, 255–56, 258–59

  Glashow-Weinberg theory of, 304–5, 310

  gravitational contraction in, 83, 238–62, 288–89, 303–4

 

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