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Flashcards

Grad QM 2 Final

Eva G Quantum Mechanics II Graduate English 38 cards

Grad QM 2 Final

Cards in this deck (38)

  1. 1Golden rule Formula in scattering chapterGolden rule Formula in scattering chapter
  2. 2Differential cross-sectionDifferential cross-section
  3. 3First order Born approximationFirst order Born approximation
  4. 4Born approximation assumptionsParticles are non-interacting at long distances (have plane wave solutions). They interact weakly with the potential and emerge as free particles. Born approximation works better at high energies.
  5. 5Born approximation for spherically symmetric potentialBorn approximation for spherically symmetric potential
  6. 6Second order Born approximationSecond order Born approximation
  7. 7Optical theoremOptical theorem
  8. 8Discussion about Optical theoremOptical theorem is a consequence of unitarity. It is exact if we compute the scattering amplitude exactly. Otherwise, you are "leaking probability".
  9. 9Trick to solve matrix element of p with Heisenberg equationTrick to solve matrix element of p with Heisenberg equation
  10. 10Fermi's Golden rule, constant potential in timeFermi's Golden rule, constant potential in time
  11. 11Fermi's Golden rule, Harmonic perturbation ( V = V0*Cos(wt) )Fermi's Golden rule, Harmonic perturbation ( V = V0*Cos(wt) )
  12. 12Interaction potential of particles with E&M (first order and second order terms)Interaction potential of particles with E&M (first order and second order terms)
  13. 13Vector potential for a single "photon"Vector potential for a single "photon"
  14. 14Spontaneous emission rateSpontaneous emission rate
  15. 15Absorption rateAbsorb radiationAbsorption rate
  16. 16Stimulated emission rateStimulated emission rate
  17. 17First order time dependent perturbation theory transition amplitudeFirst order time dependent perturbation theory transition amplitude
  18. 18Variational principle, Etrial calculationVariational principle, Etrial calculation
  19. 19Time independent NON-degenerate pertubation theory, corrections to energyTime independent NON-degenerate pertubation theory, corrections to energy
  20. 20Time independent NON-degenerate pertubation theory, first order correction to wavefunctionTime independent NON-degenerate pertubation theory, first order correction to wavefunction
  21. 21Time independent degenerate pertubation theory, corrections to energyNeed to diagonalize the degenerate subspace.Time independent degenerate pertubation theory, corrections to energy
  22. 22Time independent degenerate pertubation theory, corrections to wavefunctionsTime independent degenerate pertubation theory, corrections to wavefunctions
  23. 23Harmonic oscillator raising and lowering operatorsHarmonic oscillator raising and lowering operators
  24. 24Harmonic oscillator, x and p operatorsHarmonic oscillator, x and p operators
  25. 25Harmonic oscillator, ground state wavefunction in position spaceHarmonic oscillator, ground state wavefunction in position space
  26. 26Easy way to solve time evolution of spin 1/2 particle in B-fieldEasy way to solve time evolution of spin 1/2 particle in B-field
  27. 27Some relevant spherical harmonicsSome relevant spherical harmonics
  28. 28Dipole operatorDipole operator
  29. 29Stark effect, interaction HamiltonianStark effect, interaction Hamiltonian
  30. 30Partial wave total cross sectionPartial wave total cross section
  31. 31s-wave phase shifts-wave phase shift
  32. 32Scattering lengthScattering length knows about the bound statesScattering length
  33. 33S-wave scattering cross-sectionS-wave scattering cross-section
  34. 34Born approximation: scattering amplitude with Form factorBorn approximation: scattering amplitude with Form factor
  35. 35Resonance cross-sectionResonance cross-section
  36. 36Cross-section in terms of branching ratiosCross-section in terms of branching ratios
  37. 37Feshbach resonanceDrive a bound state energy level very close to zero energy such that the scattering length becomes very large (close to diverging). In trapped ions the interactions can be tuned by tuning the parameters in the potential.
  38. 38"Tell me about Helium" or "Hund's rule"Orthohelium: symmetric spin (triplet), antisymmetric space WF
    Parahelium: antisymmetric spin (singlet), symmetric space WF.
    Symmetric spatial bring electrons closer together so higher interaction energy in parahelium.

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Graduate Quantum Mechanics II Flashcards on Grad QM 2 Final, created by Eva G on 29/04/2022.
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Eva G
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