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- Is the Hamiltonian always the total energy? - Physics Forums
The simplest examples of Hamiltonians that aren't the total energy arise in optics where it makes more sense to use a Hamiltonian derived from Fermat's principle treating optical path length as the action The Hamiltonian is obtained by taking the Legendre transform of the Lagrangian (which is just the rate at which the optical path length grows)
- discrete mathematics - What is the difference between a Hamiltonian . . .
Hamiltonian path is a path in an undirected or directed graph that visits each vertex exactly once Hamiltonian cycle is a Hamiltonian path that is a cycle, and a cycle is closed trail in which the “first vertex = last vertex” is the only vertex that is repeated
- Commutator of the Hamiltonian with Position and Hamiltonian with Momentum
To prove: Commutator of the Hamiltonian with Position: i have been trying to solve, but i am getting a factor of 2 in the denominator carried from Insights Blog -- Browse All Articles -- Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio Chem
- prove that the graph $G$ is hamiltonian - Mathematics Stack Exchange
Problem: If $G$ is a graph with $m$ edges and $n\geq 3$ vertices, where $2m \geq n^{2} - 3n + 6$, prove that $G$ is a hamiltonian graph
- Hamiltonian for a free particle (Special relativity) - Physics Forums
The Hamiltonian is supposed to describe "time evolution", but that requires picking a particular split between space and time, correct? (Essentially, that would mean that in order to derive the Hamiltonian, one would need to set the parameter ##\tau = x^0 = t## where ##t## is the coordinate time in some particular frame )
- Zero Hamiltonian and its energies - Physics Forums
First of all, you are not understanding what he Hamiltonian is The Hamiltonian is not the value of the energy, it is a relationship between position and momentum for a particular system If the Hamiltonian is p^2 + q^2, and the value of p^2 + q^2 is zero, then the Hamiltonian is p^2 + q^2, not zero It is analogous to Bush being the president
- Show that the Hamiltonian commutes with Angular momentum - Physics Forums
I was trying just to do it by first showing that H commutes with J 2, and then was going to do the same for L 2 and S 2, and also I would have just stated that Jz commutes with J 2 and therefore also with the Hamiltonian But I wasn't entirely sure how to show that this I tried: [H, J 2] = (g 2) [ J 2 - L 2 - S 2, J 2] =(g 2) ([ J 2, J 2] - [L
- How to change the Hamiltonian in a change of basis - Physics Forums
Dear all, The Hamiltonian for a particle in a magnetic field can be written as $$\hat{H} = \frac{1}{2}g\mu_B\textbf{B}\cdot\boldsymbol\sigma$$ where Insights Blog -- Browse All Articles -- Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio
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