अचरों a और b पर विचार कीजिए ताकि (p, q) से (P, Q) में निम्नलिखित व्यापक निर्देशांक रूपांतरण (generalized coordinate transformation) विहित (canonical) हो: Q = p qa+1, P = qb a और b के मान क्या हैं?

A diatomic molecule is modeled as two atoms of equal mass m connected by a spring of force constant k. The molecule moves in one dimension under the influence of an external potential: V(x1, x2) = 12mω02(x12 + x22) If one normal mode frequency of the molecule is ω0, then the other normal mode frequency is:

The potential energy between two particles is given by V(r) = -a/r4 + b/r10, where 'a' and 'b' are positive constants. The potential energy at equilibrium separation is: