यदि एक कैनोनिकल रूपांतरण (canonical transformation) Q = q2 और P = p / (2q) द्वारा परिभाषित है, तो निम्नलिखित में से कौन सा F2 = F2(q, P, t) प्रकार का सही जनक फलन (generating function) है?

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: