818 research outputs found
Displacement operators: the classical face of their quantum phase
In quantum mechanics, the operator representing the displacement of a system
in position or momentum is always accompanied by a path-dependent phase factor.
In particular, two non-parallel displacements in phase space do not compose
together in a simple way, and the order of these displacements leads to
different displacement composition phase factors. These phase factors are often
attributed to the nonzero commutator between quantum position and momentum
operators, but such a mathematical explanation might be unsatisfactory to
students who are after more physical insight. We present a couple of simple
demonstrations, using classical wave mechanics and classical particle
mechanics, that provide some physical intuition for the phase associated with
displacement operators.Comment: 14 pages, 4 figures, reorganized and reformatte
ON ROUGH AND -CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES
In this paper, we have introduced first the notion of rough -convergence in a normed linear space as an extension work of rough -convergence and then rough -convergence in more general way. Then we have studied some properties on these two newly introduced ideas. We also examined the relationship between rough -convergence with both of rough -convergence and rough -convergence
The citrate cleavage enzyme. III. Citryl coenzyme a as a substrate and the stereospecificlty of the enzyme
This article does not have an abstract
On rough and -convergence of sequences in normed linear spaces
In this paper, we have introduced first the notion of rough -convergence
in a normed linear space as an extension work of rough -convergence and then
rough -convergence in more general way. Then we have studied some
properties on these two newly introduced ideas. We also examined the
relationship between rough -convergence with both of rough -convergence
and rough -convergence.Comment: 13 page
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