Hamiltonian.......????

hey can u ppl tell me how to solve mechanics problems wid d help of hamiltonian operator.........???????
also pl post a bit ov description............

In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system. Like any other self-adjoint operator, the spectrum of the Hamiltonian can be decomposed, via its spectral measures, into pure point, absolutely continuous, and singular parts. The pure point spectrum can be associated to eigenvectors, which in turn are the bound states of the system. The absolutely continuous spectrum corresponds to the free states. The singular spectrum, interestingly enough, comprises physically impossible outcomes. For example, consider the finite potential well, which admits bound states with discrete negative energies and free states with continuous positive energies.

and now u can also plot a graph of the observed eigen values.


ritu plz load latex

arnav are u clear with ur differential equations(coz here i.e in the later parts we deal with the second order diff.equations)

well
u'll hav 2 wait for par

i m running 4 time

call par please!!!!!!!!!!!!!!!!!