Sign up ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free.

I was reading the lecture notes from

I am a little bit confused how points on the lattice gets assigned by a unique index j given in the lecture as

$$j = \sum_{i = 0}^{D-1} n_{i} L^{i}$$

Can any one explain what does it means. It is even not equal to total lattice sites V.

share|cite|improve this question
This is just a way to index the $L^D$ lattice points. It's equivalent to giving each lattice point $j=(n_0,n_1,...,n_{D-1})$ an index whose digits in base $L$ are $n_0,n_1,...,n_{D-1}$ (from least to most significant). – mjqxxxx Nov 2 '12 at 4:55

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.