I was not formally introduced to this math, so I appreciate corrections but I'll give my impressions.(adsbygoogle = window.adsbygoogle || []).push({});

The fock space for a particle with space H is

(c, H, HxH, HxHxH, ... )

1: What is a hilbert space for a single particle? I believe know what a hilbert space is, but for 'a particle'.. what is the base of this space? what to its vectors mean?

2: Operaions on Direct sums of spaces are defined as parallel operations over vector of those spaces. If each position on a tuple does not have a single vector associated(or it has?), like a basis vector, what would mean in the fock space, for example, (0, 1 ,1 , 0 ..0..), (0, 2 ,1 , 0 ..0..), (0, 1 ,1 , 0 ..0..) or (0, 0.5 ,0 , 0 ..0..)

3: How would fock states be denoted as tuples of the fock space? like, would |2> be (0,0,1,0...) ?

4: What does it mean for a state to have a 'well defined number of particles'? that all except one coefficient on a fock tuple is non zero?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fock spaces semantics and number of particles

**Physics Forums | Science Articles, Homework Help, Discussion**