Different from present software packets to deal with noncommutative algebra, such as NCAlgebra and NCComAlgebra, one simple method of calculating the commutator in quantum mechanics is put forward and is demonstrated by an example calculating SO(4) dynamical symmetry in 3 dimensions Coulomb potential...
Operators and commutators can be used in a variety of ways to solve problems in quantum mechanics. They can help us determine the energy levels of a system, calculate transition probabilities, and solve Schrödinger's equation. They are also crucial in developing mathematical models for quantum ...
However, this lack of uniqueness cannot be used to obtain a high frequency cut-off as in the non-relativistic case. 关键词: physics commutation relations commutators differential equations field theory frequency hamiltonian lorentz transformations quantum mechanics relativity theory DOI: 10.1103/PhysRev....
We derive a method for the calculation of commutators within the functional-integral formulation of quantum mechanics. Anomalous terms in commutators are expressed in terms of the transformation properties of the functional-integral measure. As an application we compute some commutators for the case of...
Properties of the Katugampola fractional derivative with potential application in quantum mechanics Katugampola [e-printarXiv:1410.6535] recently introduced a limit based fractional derivative,Dα(referred to in this work as the Katugampola fractional der... DR Anderson,DJ Ulness - 《Journal of Math...
Function in Quantum Mechanics Which Corresponds to a Given Function in Classical Mechanics A generalization of the procedures of Weyl and McCoy for making transition from a classical function to a quantum-mechanical operator function correspondin... H Daughaday,BP Nigam - 《Phys Rev》 被引量: 5...
Using the theorem of the derivative of a function of operators with respect to any parameter, the equation of motion of a system can be found in canonical and non-canonical quantum mechanics. (Auth.)关键词: Theoretical or Mathematical/ quantum theory/ equations of motion commutators of operator...
those commutators of the associated Lie algebra involving the generator of the cyclic subgroup, $X_0$ say, are severely restricted and, in a suitably ch... Barnes,Alan - 《Classical & Quantum Gravity》 被引量: 5发表: 2001年 A note on commutators in compact semisimple Lie algebras Given an...
I. Generalized coherent bosonization as a mapping of quantum theory into classical Hamiltonian mechanics The quantum-mechanical many-body problem is studied using the extended coupled-cluster method (ECCM) as a convenient parametrization of the Hilbert space. ... JS Arponen,RF Bishop,E Pajanne - ...
On the one hand, it can be realizedas the boundary of the unit ball in several complex variables. On the other hand,an important aspect of the study of the Heisenberg group is the background ofphysics, namely, the mathematical ideas connected with the fundamental notionsof quantum mechanics....