So far, commutators of the form AB BA = iC have occurred in which A and B are self-adjoint and C was either bounded and arbitrary or semi-definite. In this chapter the special case, important in quantum mechanics, in which C is the identity operator will be considered....
CommutationNoncommutationIn constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting operations while for non-commuting operations data...
In quantum mechanics, in addition to orbital angular momentum (OAM) L, the spin angular momentum (SAM) S is also present. We can therefore define the total angular momentum (TAM) as J = L + S. The components of TAM satisfy the same set of commutation relations as OAM: (2.175)[Jx,...
Harmonic Analysis in Phase Space The Heisenberg Lie algebra is so named because its structure equations are Heisenberg's canonical commutation relations in quantum mechanics. These relations, ... GB Folland - Princeton University Pre 被引量: 3523发表: 1989年 BOMBAY LECTURES ON HIGHEST WEIGHT ...
(1976) “Canonical commutation relations of quantum mechanics and stochastic regularity”. Lett. Math. Phys. 1: pp. 275-280K. Gustafson and B. Misra, Canonical commutation relations of quantum mechanics and stochastic regularity, Letters in Mathematical Physics 1 (1976), 275–280....
In this paper, we proposed an weak measurement experiment to measure the canonical commutator $[\hat{x},\hat{p}]=i\hbar$ in quantum mechanics. Furthurmore, we found the intriguing equivalence between the canonical commutation relation and Riemann hypothesis, and then obtained the weak value of...
In this paper we give a rigorous formulation of Gell-Mann's equal time commutation relations in the framework of general quantum field theory. We show that this can be achieved despite the nonexistence of charge operators for nonconserved currents. Starting from the properly formulated equal time ...
fundamental relations in quantum mechanics that establish the connection between successive operations on the wave function, or state vector, of two operators (L̂1 and L̂2) in opposite orders, that is, between L̂1 L̂2 and L̂2 L̂1. The commutation relations define the algebra...
Infrared singular variables which often enter in the formulation of models in quantum field theory, many鈥恇ody theory, and quantum statistical mechanics a... F Acerbi,G Morchio,F Strocchi - 《Journal of Mathematical Physics》 被引量: 63发表: 1993年 Dynamical spin correlations in Heisenberg lad...
b.(in a DC motor or generator) a ring or disk assembly that works to change the frequency or direction of current in the armature windings. 2.Math.the element equal to the product of two given elements in a group multiplied on the right by the product of the inverses of the elements....