Question

In a charged particle's movement between sites in a periodic lattice, the eigenstates of the Hamiltonian are found to what order in delta?

a) First
b) Second
c) Third
d) Fourth

Answer 1

The eigenstates of the Hamiltonian in a charged particle's movement between sites in a periodic lattice can be found to first order in delta.

Step-by-step explanation:

The eigenstates of the Hamiltonian in a charged particle's movement between sites in a periodic lattice can be found to first order in delta.

When we say 'to first order,' it means that we consider the effect of delta on the eigenstates up to the first term in a power series expansion. In this case, the eigenstates can be accurately determined taking into account the first-order contribution of delta. Higher order terms in the power series expansion would provide more accurate results, but for the purpose of this question, we are only considering the first-order contribution.

Therefore, the answer is (a) First.