Hermitian: | (93) |
Unitary: | (94) |
Orthogonal: | (95) |
(96) | |
(97) | |
(98) | |
(99) | |
(100) | |
(101) | |
(102) |
(103) | |
(104) | |
(105) | |
Pure ensemble; idempotent | (106) |
(107) | |
(108) | |
(109) | |
(110) | |
(111) |
(112) | |
(113) | |
(114) | |
(115) | |
(116) | |
(117) | |
(118) | |
Ladder operators: | (119) |
(120) | |
(121) | |
(122) | |
(123) |
Expand | (124) |
Collect like-terms: | |
(125) | |
(126) | |
(127) | |
Etc. |
(128) | |
Iterate recursively | |
(First order is the Born Approximation) | |
(129) | |
(130) | |
Spherically symmetric solution; | |
(131) | |
(132) |
(133) |
(134) | |
Solve in terms of | |
(135) | |
Solve for and plug into E. |
(136) | |
In the adiabatic approximation, the second term disappears. | |
(137) | |
sudden, | |
as |
operators | wavefunc/ket | |
Schrodinger | Time independent | |
A | Evolve in time | |
Heisenberg | Time Evolution | |
No evolution | ||
Interaction | ||
evolution by | ||
evolution with un- | ||
perturbed hamiltonian |