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 …
Energy operator and the Hamiltonian operator: Are they same?
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 …
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 clarifies the distinction between Hamiltonian and Hermitian operators in quantum mechanics. A Hamiltonian is a specific operator that encodes the dynamics of a quantum …
Hamiltonian of a particle in a magnetic field - Physics Forums
Feb 4, 2022 · The discussion centers on the Hamiltonian operator in quantum mechanics, specifically for a spin 1/2 particle in a magnetic field. The Hamiltonian operator, denoted as , represents the total …
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 …
Reduction from Hamiltonian cycle to Hamiltonian path
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 the web, …
Time-dependent unitary transformations of the Hamiltonian
Oct 17, 2019 · The Hamiltonian is defined as the generator of time translations. This results in the Schrödinger (operator) equation: Where is the time-evolution operator, which maps the state at time …
Hamiltonian for a charged particle in a magnetic field
May 4, 2021 · Learn about the Legendre transform in the context of Lagrangian and Hamiltonian formulations Investigate classical field theory applications involving charged particles USEFUL FOR …
How many Hamiltonian cycles are there in a complete graph
Just bringing in all related similar numbers of Hamiltonian circuits in complete graphs with possible intuitive interpretation of them: Total (non-distinct) Hamiltonian circuits in complete graph Kn K n is (n …