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 space, the …
How many Hamiltonian circuits are there in a complete graph with n ...
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 starting point.
Reduction from Hamiltonian cycle to Hamiltonian path
Oct 18, 2010 · I'm looking for an explanation on how reducing the Hamiltonian cycle problem to the Hamiltonian path's one (to proof that also the latter is NP-complete). I couldn't find any on the web, …
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 relation leads to the …
Is the Hamiltonian always the total energy? - Physics Forums
Apr 29, 2016 · The Hamiltonian is not always equivalent to the total energy of a system in classical mechanics. While it is often identified with total energy, exceptions arise in specific scenarios, such …
Energy operator and the Hamiltonian operator: Are they same?
Sep 1, 2017 · The energy operator and the Hamiltonian operator are distinct entities in quantum mechanics. The discussion clarifies that while both operators can act on wave functions, they …
How many Hamiltonian cycles are there in a complete graph
Just bringing in all related similar numbers of Hamiltonian circuits in complete graphs with possible intuitive interpretation of them: Total (non-distinct) Hamiltonian circuits in complete graph Kn K n is (n …
If the subdivision of a graph $G$ is Hamiltonian, is $G$ Eulerian?
Nov 3, 2025 · graph-theory hamiltonian-path eulerian-path See similar questions with these tags.
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 formulated L …
Are there any conditions that are necessary for the existence of a ...
Nov 24, 2019 · Hamiltonian cycle implies biconnected, which in turn implies that every node has degree at least two. Hamiltonian path implies connected and at most two nodes of degree one.