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 …

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.

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 …

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 …

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 …

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 …

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 …

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 …

Dec 6, 2024 · The discussion clarifies the concepts of "on-shell" and "off-shell" in Hamiltonian mechanics, emphasizing their relevance in phase space trajectories. A trajectory is classified …

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 …