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 …

Jul 17, 2011 · The discussion focuses on the challenges of calculating the commutators of the Hamiltonian with position and momentum. A user reports encountering a factor of 2 in the …

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 …

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 …

Oct 5, 2010 · "hermitian" is a general mathematical property which apples to a huge class of operators, whereas a "Hamiltonian" is a specific operator in quantum mechanics encoding the …

Nov 16, 2017 · Hamiltonian mechanics, developed by Hamilton, builds upon Lagrangian principles but introduces a different perspective by applying the calculus of variations to derive equations …

Oct 17, 2019 · The Hamiltonian is defined as the generator of time translations. This results in the Schrodinger (operator) equation: Where is the time-evolution operator, which maps the state …

Sep 1, 2017 · Isn't the Hamiltonian Operator in the Schrodinger's time dependent equation is the Hamiltonian operator defined for the particular system we are considering? Well you have this …

Dec 6, 2024 · In the derivation of Hamiltonian mechanics, the concept of "on-shell" vs "off-shell" is involved in the calculation. I searched it for like off-shelf, however it seems it makes sense in …

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 …