Question

Why is potential energy expressed using Taylor's expansion?​

Answer 1

Answer:

Explanation:

Taylor's Theorem is used in physics when it's necessary to write the value of a function at one point in terms of the value of that function at a nearby point. In physics, the linear approximation is often sufficient because you can assume a length scale at which second and higher powers of ε aren't relevant.

Answer 2

Answer:

Taylor expansion of potential energy. According to the book "Applied quantum Mechanics, Anthony Levi", The Hamiltonian of a monatomic linear chain is given by: H=∑jm2(dujdt)2+V0(0)+12!