Commutator of the Hamiltonian with Position and Hamiltonian …
Jul 17, 2011 · The discussion focuses on the challenges of calculating the commutators of the Hamiltonian with position and momentum. A user reports encountering a factor of 2 in the …
What Is the Difference Between Hamiltonian and Hermitian …
Oct 5, 2010 · "hermitian" is a general mathematical property which apples to a huge class of operators, whereas a "Hamiltonian" is a specific operator in quantum mechanics encoding the …
discrete mathematics - What is the difference between a …
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 …
Is the Hamiltonian always the total energy? • Physics Forums
Apr 29, 2016 · The Hamiltonian is not always equivalent to the total energy in classical mechanics, as demonstrated by various examples. In optics, the Hamiltonian can be derived …
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 …
Difference between Hamiltonian and Lagrangian Mechanics
Nov 16, 2017 · Hamiltonian mechanics, developed by Hamilton, builds upon Lagrangian principles but introduces a different perspective by applying the calculus of variations to derive equations …
Time-dependent unitary transformations of the Hamiltonian
Oct 17, 2019 · The Hamiltonian is defined as the generator of time translations. This results in the Schrodinger (operator) equation: Where is the time-evolution operator, which maps the state …
Energy operator and the Hamiltonian operator: Are they same?
Sep 1, 2017 · Isn't the Hamiltonian Operator in the Schrodinger's time dependent equation is the Hamiltonian operator defined for the particular system we are considering? Well you have this …
How many Hamiltonian circuits are there in a complete graph with …
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 …
How many Hamiltonian cycles are there in a complete graph …
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.