mirror of
https://asciireactor.com/otho/phy-4600.git
synced 2025-11-04 02:38:06 +00:00
15 lines
569 B
Plaintext
15 lines
569 B
Plaintext
|
Ψ(t) is the time-revolving state function,
|
|||
|
|
Ψ(t) = c₁ exp(-ι E₁/ħ t) + c₂ exp(-ι E₂/ħ t) + ...
|
|||
|
|
|
|||
|
|
The eigenstate of A corresponding to the eigenvalue a₁
|
|||
|
|
|a₁〉 = α₁|E₁〉 + α₂|E₂〉
|
|||
|
|
|
|||
|
|
The probability of measuring the eigenvalue a₁ is
|
|||
|
|
P(a₁) = |〈a₁|Ψ(t)〉|²
|
|||
|
|
↓ Derivation on page 71
|
|||
|
|
P(a₁) = |α₁|²|c₁|² + |α₂|²|c₂|² + Re(α₁c₁⃰α₂⃰c₂ exp(-ι (E₂-E₁)/ħ t))
|
|||
|
|
|
|||
|
|
The Bohy Frequency (angular frequency) of two states E₁ and E₂ is thus revealed:
|
|||
|
|
ω₂₁ = (E₂ - E₁)/ħ
|
|||
|
|
|