You have the number operator, and the action that defines it, † [uniqu que e num numberber-c combi ombina nati tion on cha charact racter eriz izin ing g sta state] te] ["qua "quant ntum um"" num numbers bers]; ]; N a a ; {n }i [uni i
(1.1)
(1.2)
The number operator (1.2) acts on the space of all states of the form, 1 † † † 12 ... N a1 a2 ...a N 0 n n ...n 1...1; ...; N ... N ; , [F , B ]; (1.3) 1 2 n1 !n2 !...n N ! N
Example: specializing to bosons,
(1.4)
Example: the λ -label -label refers to the single-particle energy states. E0 {n } n total energy number ; H 0 N to tal energy operator ;
