
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 · Deriving the Hamiltonian of a system given the Lagrangian Jan 4, 2024 Replies 2 Views 1K Diagonalizing of Hamiltonian of electron and positron system Dec 10, 2021 Replies …
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 …
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.
Is the Hamiltonian always the total energy? • Physics Forums
Apr 29, 2016 · The point of a Hamiltonian isn't to tell us about energy, the point is that a Hamiltonian is a function you can stick into a Poisson bracket to generate equations of motion …
QM: Commuting the Hamiltonian with position - Physics Forums
Jan 31, 2009 · Homework Statement Hi all. I am commuting the Hamiltonian (H = p 2 / (2m) + V (x)) with position. This is what I get: <br /> [H,x] = -\frac {i\hbar} {m}p, <br /> where p is the …
discrete mathematics - Prove by induction any $k$-hypercube …
Nov 6, 2017 · How can you build a Hamiltonian circuit on the 3-hypercube using h2? Take your idea and generalize it to build a Hamiltonian circuit for the k-hypercube given hk-1
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 …
Hamilton paths/cycles in grid graphs - Mathematics Stack Exchange
This is trivially Hamiltonian in that there is a zero length path that visits the vertex. [1] Part 3: If m = 1 xor n = 1, the graph is not Hamiltonian All Hamiltonian graphs are biconnected. [2] If …