mirror of
https://asciireactor.com/otho/phy-521.git
synced 2024-11-21 23:25:06 +00:00
20 lines
411 B
Plaintext
20 lines
411 B
Plaintext
|
ℋ❙φ❭ = (ℋ𝓍𝓎 + ℋ𝓏)❙φ❭ = E❙φ❭.
|
|||
|
|
|
|||
|
|
ℋ𝓍𝓎 = (P²𝓍 + P²𝓎)/(2μ) + ½ μω² (X² + Y²).
|
|||
|
|
|
|||
|
|
ℋ𝓏 = P²𝓏/2μ.
|
|||
|
|
|
|||
|
|
❙φ❭ = ❙φ𝓏𝓎❭ ⛒ ❙φ𝓏❭.
|
|||
|
|
|
|||
|
|
ℋ𝓍𝓎❙φ❭ = E𝓍𝓎❙φ❭.
|
|||
|
|
|
|||
|
|
E = E𝓍𝓎 + E𝓏.
|
|||
|
|
|
|||
|
|
❬z❙φ𝓏❭ = (2πħ)⁻¹ exp(ιp𝓏z/ħ).
|
|||
|
|
|
|||
|
|
E𝓏 = p𝓏²/2μ where p𝓏 is an arbitrary real constant.
|
|||
|
|
|
|||
|
|
ℰ = ℰ𝓍𝓎 ⛒ ℰ𝓏.
|
|||
|
|
|
|||
|
|
|