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Topic: Normalisable wavefunction

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	Normalisable wavefunction \| English \| Dictionary & Translation by Babylon
		In quantum mechanics, wave functions which describe real particles must be normalisable: the probability of the particle to occupy any place must equal 1.
		Mathematically, in one dimension this is expressed as in which the integration parameters A and B indicate the interval in which the particle must exist.All wavefunctions which represent real particles must be normalizable, that is, they must have a total probability of one - they must describe the probability of the particle existing as 100%.
		This trait enables anyone who solves the Schrödinger equation for certain boundary conditions to discard solutions which do not have a finite integral at a given interval.
	www.babylon.com /definition/Normalisable_wavefunction (146 words)

	Re: Measurement Pb in Quantum Theory
		Interestingly the wavefunction of the universe is not normalisable (a least not for any models i've since in the literature), so we don't get probablities here.
		This is >because the number of distinct orthogonal wavefunctions over >which the density matrix of any thermal system can be expanded is >of the order of exp(S/k) where S is the entropy of the system and k >is Boltzmann's constant.
		Yes, you've got the maths right here, but you when you change the resolution of the splititing you also increase the number of different worlds the observer is in, overall the relavitive states at the courser level is an approximation of the one at the fine level, and probablities should remain about the same.
	www.lns.cornell.edu /spr/2000-07/msg0026443.html (1448 words)

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