discrete mathematics - What is the difference between a Hamiltonian ...
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 closed trail in …
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 …
Given a Hamiltonian, finding the energy levels - Physics Forums
Mar 8, 2017 · Discussion Overview The discussion revolves around the process of finding energy levels from a given Hamiltonian in quantum mechanics. Participants explore strategies for solving the …
How many Hamiltonian cycles are there in a complete graph $K_n$ ($n ...
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.
What Is the Difference Between Hamiltonian and Hermitian Operators?
Oct 5, 2010 · The discussion revolves around the distinction between Hamiltonian and Hermitian operators, focusing on their definitions, properties, and implications in quantum mechanics and …
The Hamiltonian: Solving dH/dt Formally - Physics Forums
Mar 8, 2006 · The discussion revolves around the Hamiltonian formulation in classical mechanics, specifically focusing on the expression for the total differential of the Hamiltonian, dH, and its …
Hamiltonian Function - Definition & Explanation - Physics Forums
Sep 28, 2007 · The hamiltonian is a quantity which is conserved by a system if that system is invariant under a translation in time. If the system is composed of point particles described by cartesian …
If the subdivision of a graph $G$ is Hamiltonian, is $G$ Eulerian?
Nov 3, 2025 · $G$ has a vertex of degree $0$ or $1$ (in which case, the same is true of the subdivision - but a Hamiltonian graph must have minimum degree $2$); $G$ has a vertex of degree $3$ or more.
Hamiltonian matrix off diagonal elements? • Physics Forums
Oct 20, 2013 · The discussion revolves around the construction of Hamiltonian matrices for optical applications, specifically addressing the off-diagonal elements in the Hamiltonian related to the …
Proving Longest Path Belongs to NP & Reducing Hamiltonian Path
Apr 11, 2015 · The Hamiltonian path problem is a set of graphs with a "yes" or "no" answers associated with each graph. It is not clear what you mean by "the Hamiltonian path problem has a solution".