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Ca2+-ROS signaling network in mechano/osmo-sensing in plants

Ca2+-ROS signaling network in mechano/osmo-sensing in plants

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DEFINITION 2 The probability measure P on [M (G), M(G)] given by

(2.6) is called position distribution of the quantum system in the state .

We denote by N the number operator on L2 (M (G)), i.e.

N (*) = |*| · (*), 5 L2 (M (G)), * 5 M (G)



(2.7)



where |*| := *(G) is the number of particles in the conguration *. For

each pure state 5 L2 (M (G)) we obtain

Z

|*| · | (*)|2 F (d*).

(2.8)

h , N i =

M(G)



This is the quantum expectation of the number of particles in the state

. We see that this value is the same as the classical expectation of the

(random) number of particles distributed according to P

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Ca2+-ROS signaling network in mechano/osmo-sensing in plants

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