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 …
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 …
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 …
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.
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.
Recommendation for a book on Hamiltonian Mechanics
Feb 24, 2024 · The discussion revolves around seeking recommendations for books on Hamiltonian Mechanics, specifically aimed at providing practical examples and exercises. The context includes a …
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 …
Hamiltonian Function - Definition & Explanation - Physics Forums
Sep 28, 2007 · The discussion centers around the Hamiltonian function, exploring its definition, properties, and applications within classical and quantum mechanics. Participants engage in …
Time-dependent unitary transformations of the Hamiltonian
Oct 17, 2019 · The discussion revolves around the transformation of the Hamiltonian operator under time-dependent changes of basis in quantum mechanics. Participants explore the implications of …
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 …