# how to solve Hamiltonian

#### vikas katoch

Respected Sir,
tell me how we can solve Hamiltonian or Schrodinger equation.

with regards
vikas

#### Pmb

PHF Hall of Fame
Respected Sir,
May I ask you what country you're from? Its rare for us to be called that. I like it though.

I do wonder when I went from rebellious beer drinking angry young man to respected sir. It may have been a process that took close to half a century so I never noticed it happening.

Respected Sir,
tell me how we can solve Hamiltonian or Schrodinger equation.

with regards
vikas
To best help people there are very rare instances where its important to know why someone wants to know the answer to their question. This is such an instance. Why do you ask?

Regarding the question on the Hamiltonian its not clear what context you're speaking about. I suspect it might be in regards to quantum mechanics. Is that correct? In either case one doesn't "solve" a Hamiltonian anymore than one can solve the expression f(x) x^2.

In classical mechanics the Hamiltonian is an function and in quantum mechanics its an operator which is obtained from the classical Hamiltonian. The classical Hamiltonian is defined as the summation the product of the generalized coordinates and the corresponding generalized momentum minus the Lagrangian. Its defined per a given system.

There is no general way to solve the Schrodinger equation which is a differential equation. There are many methods to solve such equations and its different for each system.

Whew! Had to dust the cobwebs off there.

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#### topsquark

Forum Staff
Respected Sir,
tell me how we can solve Hamiltonian or Schrodinger equation.

with regards
vikas
PMB is absolutely correct. But for the sake of argument I'll be a bit briefer (and a lot less general): What is your potential energy function?

-Dan