Two equivalent statements of time reversal symmetric Hamiltonian ...
Dec 20, 2025 · SUMMARY The discussion centers on the equivalence of two conditions for time reversal invariant Hamiltonians: [H, Θ] = 0 and H = H ∗. Participants clarify that in Fourier …
Eigenvalues of a "unusual" Hamiltonian of a harmonic oscillator
Dec 17, 2025 · The discussion centers on the eigenvalues of an unusual Hamiltonian for a harmonic oscillator, defined as , where the operator is not self-adjoint. The commutation …
If the subdivision of a graph $G$ is Hamiltonian, is $G$ Eulerian?
Nov 3, 2025 · $G$ has a vertex of degree $0$ or $1$ (in which case, the same is true of the subdivision - but a Hamiltonian graph must have minimum degree $2$); $G$ has a vertex of …
How many Hamiltonian circuits are there in a complete graph with …
A Hamiltonian circuit (or cycle) visits every vertex exactly once before returning to its starting point. An Eulerian circuit visits every edge exactly once in the graph before returning to the …
Hamiltonian Function - Definition & Explanation - Physics Forums
Sep 28, 2007 · The Hamiltonian function, denoted as H (p, q, t), is a fundamental concept in Hamiltonian mechanics that describes the energy of a system in terms of momentum (p), …
Difference between Hamiltonian and Lagrangian Mechanics
Nov 16, 2017 · Hello, I am trying to "integrate into my understanding" the difference between Hamiltonian and Lagrangian mechanics. In a nutshell: If Lagrange did all the work and …
The Hamiltonian: Solving dH/dt Formally - Physics Forums
Mar 8, 2006 · The discussion focuses on the formal derivation of the Hamiltonian, specifically the expression for dH/dt. Participants analyze the relationship between the Hamiltonian H and the …
What Is the Difference Between Hamiltonian and Hermitian …
Oct 5, 2010 · The discussion clarifies the distinction between Hamiltonian and Hermitian operators in quantum mechanics. A Hamiltonian is a specific operator that encodes the …
Are there any conditions that are necessary for the existence of a ...
Nov 24, 2019 · A tough graph is a graph G G such that deleting any k k vertices leaves at most k k connected components. All Hamiltonian graphs are tough, because the cycle graph Cn C n …
Show that the Hamiltonian commutes with Angular momentum
Apr 26, 2018 · The discussion focuses on demonstrating that the Hamiltonian \ ( H = \frac {g} {2} (J^2 - L^2 - S^2) \) commutes with angular momentum operators \ ( J^2 \), \ ( L^2 \), and \ ( …