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 …
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 …
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 …
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 …
How many Hamiltonian cycles are there in a complete graph …
There are $\frac {n-1} {2}$ such consecutive pairs in the upper half of the circumference with $\frac {n-1} {2}$ edges connecting them each leading to unique edge disjoint Hamiltonian circuits.
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 …
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 …
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 …
discrete mathematics - What is the difference between a …
Aug 18, 2020 · 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 …
Commutator of the Hamiltonian with Position and Hamiltonian …
Jul 17, 2011 · The discussion focuses on the calculation of the commutators of the Hamiltonian with position and momentum operators in quantum mechanics. Specifically, the user …