Commutator: raising and lowering operators derivation
Автор: lseinjr1
Загружено: 2017-09-27
Просмотров: 4471
Описание:
00:07 Expressions for the operators
01:20 Definition of the commutator of two (2) operators
01:53 Explicit values for operators substituted into commutator expression
03:06 Factoring out a constant
04:15 Evaluation of right-most operator in each term
05:15 Expansion of terms using the distributive law
09:27 Cancellation of additive terms
11:05 Application of product rule for differentiation
12:24 Cancellation of additive terms (second time)
Calculation of the commutator of the raising operator ("creation operator") a† and the lowering operator ("annihilation operator") a. The † symbol is the "dagger" ("knife").
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