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 …
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 …
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 …
Understanding Fixed Points in Hamiltonian Systems
Dec 27, 2021 · Investigate more complex Hamiltonian systems with multiple variables and their potential functions Mathematicians, physicists, and engineers interested in dynamical systems, particularly …
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.
Why is the complete graph $K_2$ not Hamiltonian?
May 11, 2020 · You seem to want a Hamiltonian cycle. Details of paths, cycles, trails, walks, et c. depend on one's definitions. Hamiltonian path : "A Hamiltonian cycle (or Hamiltonian circuit) is a …
Separable Hamiltonian for central potential - Physics Forums
May 14, 2022 · The discussion revolves around the separability of the Hamiltonian in the context of a central potential problem in quantum mechanics. Participants explore how to express the …
Hamiltonian of a particle in a magnetic field - Physics Forums
Feb 4, 2022 · Now the author in Chapter 3 introduces the Hamiltonian operator as "The eigenvalues of the Hamiltonian are the allowed energies of the quantum system, and the eigenstates of are the …
What are the main differences between Hamiltonian and Lagrangian ...
Aug 13, 2014 · The discussion clarifies the fundamental differences between Hamiltonian and Lagrangian mechanics. The Lagrangian formulation focuses on the principle of least action, …