- #1
adityaphysics
- 2
- 0
I have a question if you have an Hamiltonian given by
[itex]
H = \sum_{i,i+1} \sigma_i \cdot \sigma_{i+1}
[/itex]
where i can even or odd bonds so in a 1D lattice so if you have 4 sites(1 2 3 4 1) then (12) and (34) are even bonds and (23) and (41) are odd bonds. and I was checking if
[itex]
[H_{x even(12)} , H_{x even(34)}]
[/itex]
will they commute also do even and odd bonds commute i.e.
[itex]
[H_{x even} , H_{x odd}]
[/itex]
[itex]
H = \sum_{i,i+1} \sigma_i \cdot \sigma_{i+1}
[/itex]
where i can even or odd bonds so in a 1D lattice so if you have 4 sites(1 2 3 4 1) then (12) and (34) are even bonds and (23) and (41) are odd bonds. and I was checking if
[itex]
[H_{x even(12)} , H_{x even(34)}]
[/itex]
will they commute also do even and odd bonds commute i.e.
[itex]
[H_{x even} , H_{x odd}]
[/itex]