Hamilton Definition and 75 Threads

Dears Is there any similar equation (in Lamarsh or hamilton books) like the one in the attached picture(equation1)? From where R. Serber derived this one? Best regards

How can M_{2}(\mathbb{C}) be written as a combination of elements of \mathbb{C} and elements of \mathbb{H}?

Homework Statement [PLAIN]http://img411.imageshack.us/img411/4412/sssa.jpg Homework Equations The Attempt at a Solution Actually I have very basic knowledge of university physics and math, so the only things I've done are calculating Hamilton equations (I hope correctly)...

I know the Liouville's theorem. but i just can't understand. so i considered an example of friction: ma=-bv; and the Lagrange is: L=1/2 mv^{2}+bxv /b is a coefficient of friction/ after i substituted it into Hamilton formulation, it turns out to be: ma=0 so the friction is vanished...

Hello, sorry for my English:D Homework Statement I am trying to find motion equations for a mass moving around a big mass (ex. planet around sun), assumption is that the mass in middle is static (so this can be reduced to moving of mass around central force in middle of cartesian system), and...

The hamilton function of a particle in two dimensions is given by H = (p\stackrel{2}{x})/2m + (p\stackrel{2}{y})/2m + apxpy + U(x,y) Obtain the Hamiltonian equations of motion. Find the corresponding Lagrange function and Lagrange equations. Would it be px = dH/dpy (of course it...

Homework Statement I shall consider the Hamilton H(q,p)=1/2\sum{p_l^2}+1/2\sum{q_l^2}+\gamma(\sum{q_l^2})^2 all the sums if from l=1 to l=N. (gamma is bigger or equal to zero) I shall discuss the symmetry/asymmetry plus determine that the form of the qeneral solution is qualitative...

As i know there are several diffrent way to derive the canonical equations. Some of them starts from a physical principle like Hamilton's principle or the Lagrange equations. But it can be derived also by simply make a Legendre transormation on the Lagrange function and then make...

Homework Statement I have to calculate the expected value of the Hamilton operator (average energy) of a two, non interacting, identical particle system. Thus these particles can be bosons or fermions, but at the moment I just want to look at fermions. Homework Equations...

Hi, Someone has some suggestion about self-study book about "Laplacian" and "Hamilton Operator". Thanks

How can we show \left[\hat{H},\hat{x}\right]=\frac{-i\hbar}{m} \hat{p_{x}} ?

why i\hbar(\partial/\partialt+i\Omega)=i\hbarexp(-i\Omegat)\partial/\partialtexp(i\Omegat)

hi all F1 enthusiasts(if there are some here), i would like yo know who ,according to you, is better, ALONSO Vs HAMILTON? my money is on Hamilton, Mclaren purposely didnt allow Hamilton to run the last flying lap(Monaco GP), when he still could have got another go. he was light on fuel, so...

i met a proof to cayley hamilton theorem and have some questions. It uses that lambda*I - A is invertible. But lambda is surely an eigenvalue of A and 1/(lamda*I - A) is not legit so how is it legal to use that.

pleas interduce a site that contain hamilton nuclear reactor analysis books chapter problem solution tnx.

I'm really confused when using Hamilton and lagrangian equations, and have read loads of documents on it, but its not getting any clearer, I was hoping someone might be able to help me. Thanks in advance...

Is there anyone in the Hamilton area who is willing to tutor me so I can pass my undergrad introductory physics course? I really need some serious help. Thanks, Physics DUD :cry:

Let be the S function being the action in physics S=S(x,y,z,t) satisfying the equation: \frac{dS}{dt}+(1/2m)(\nabla{S})^{2}+V(x,y,z,t)=0 where V is the potential is there any solution (exact) to it depending on V?

Hello, I'm looking for a good Dynamics Book. I got Engineering Mechanics: Dynamics by Andrew Pytel and Jaan Kiusalaas, but it's fairly introductional, i also got Classical Mechanics by Goldstein, which is advanced. I am looking for intermediate level. I am looking mainly to learn the Lagrange...

Hello I am having a litte problem solving h=[ p^2 / (2m) ] + mAxt where m, A are constants. initial conditions: t=0, x=0, p= mv Supposedly sol this with Hamiltons principal function. A hint for start would be nice Thanks in Advance

let be (dS/dt)+(gra(S))^2/2m+(LS)+V(x) where L is the Laplacian Operator and V is the potential...could it be considered as the Hamiltan Jacobi equation for a particle under a potential Vtotal=V(x)+(LS) where S is the action

i have been given a problem involving a pendulum, where its support point is accelerating vertically upward. The period of the pendulum is required. Anybody have any idea how to start this one? is it not just 2pi(L/g-a)^1/2?

Does someone here knows something about how tensor of curvature (Riemann) and the hamilton operator associated with a particle are connected ? Makes this question sense ? Thanks

Certainly a simple question but I am lost; can the Hamilton operator of a particle be a matrix [H] ? If yes, must this matrix be self adjoint [H = h(i,j)] = [H = h(j,i)]*? And if yes: why or because of why ? Thanks

Does anyone know of a good online resource on Lagrangian and Hamiltonian mechanics?