No, commuting operators are not always used in quantum mechanics experiments. In cases where the operators do not commute, measurements of one observable can affect the measurement outcomes of another observable. This is known as the uncertainty principle in quantum mechanics.Similar...
Complementarity is one of the central mysteries of quantum mechanics. In the mathematical formalism this is represented by the fact that different operators do not necessarily commute. In this chapter we discuss two different mathematical tools to deal with non-commuting operators....
This does not exclude a completion of quantum mechanics, going beyond it, by a more general theory of single events, using hidden variables, for example. 展开 关键词: classical and quantum mechanics, general physics angular momentum operators distribution functions quantum mechanics probability spin ...
It is known that non-commuting observables in quantum mechanics do not have joint probability. This statement refers to the precise (additive) probability model. I show that the joint distribution of any non-commuting pair of variables can be quantified via upper and lower probabilities, i.e. ...
You can, if necessary, restrict the domain of A and B to this state Ψ only, constructing new operators A',B'. Then, the old story works again: if they share an eigenvector, namely Ψ. And if you know you are in Ψ from the beginning, the order of measurement does not matter. ...
Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. III. A Generalized Wick Theorem and Multitime Mapping The new c-number calculus for functions of noncommuting operators, developed in Paper I and employed in Paper II to formulate a general phase...
Models for n -tuples of noncommuting operators ☆ 来自 Elsevier 喜欢 0 阅读量: 56 作者: J Bunce 摘要: This paper proves versions of the Rota model theorem, the de Branges-Rovnyak model theorem, and the coisometric extension theorem for n-tuples of not necessarily commuting operators. ...
There is a constant threshold th such that if ‖Nj − output of the noisy commuting quantum circuits is impossible denotes the diamond norm of the super-operators42. I‖◊ ≤εth, then efficient classical simulation of unless the PH collapses at the third level. Here ‖ the ⋅ ‖...
Measures on the unit circle and unitary truncations of unitary operators In this paper, we obtain new results about the orthogonality measure of orthogonal polynomials on the unit circle, through the study of unitary truncations... MJCM Velázquez - 《Journal of Approximation Theory》 被引量: ...
The grand canonical ensemble lies at the core of quantum and classical statistical mechanics. A small system thermalizes to this ensemble while exchanging heat and particles with a bath. A quantum system may exchange quantities represented by operators that fail to commute. Whether such a system th...