Manuscript Em03-H@8 · Em03-H-v8.tex · section · 91e9e3bd

Occupation representation

Frozen microscopic model and complete preparation › Occupation representation · lines 364–380

Use $H_{B} = F_{f} (C^{n})$ , $n \geq 2$ , with

∣ P ⟩ = j \in P \prod^{increasing} c_{j}^{†} ∣ \emptyset ⟩ .

The annihilation rule is

c_{j} ∣ P ⟩ = {(- 1)^{# {k \in P : k < j}} ∣ P ∖ {j}⟩, 0, j \in P, j \in / P,

and creation uses the corresponding preceding-occupation sign.

Displayed formulas in this passage

unlabeled · line 367
$∣ P ⟩ = j \in P \prod^{increasing} c_{j}^{†} ∣ \emptyset ⟩ .$
unlabeled · line 372
$c_{j} ∣ P ⟩ = {(- 1)^{# {k \in P : k < j}} ∣ P ∖ {j}⟩, 0, j \in P, j \in / P,$