By Bigatti D.
The current overview goals either to supply a few motivations snd mathematical must haves for a examine of NCG from the perspective of a theoretical physicist and to teach a number of purposes to matrix thought and effects got.
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Additional resources for Non-commutative spaces in physics and mathematics
Our explanation of the interference is a special case of a rather general law in quantum mechanics: If there are two or more ways for a quantum system to go from an initial state to some ﬁnal state, and if each way has associated with it a probability amplitude A, then the total probability amplitude for that ﬁnal state is just the sum of the amplitudes for each of the possible ways to get there Afinal ¼ Apath1 þ Apath2 þ Apath3 þ . . : The sum is a reﬂection of our ignorance: If we cannot know which path will be taken by the system, then the amplitudes associated with all possible paths must be summed.
Electron holography: A new view of the microscopic”, Physics Today 43, 4 (1990), 22. , “Demonstration of single-electron buildup of an interference pattern”, American Journal of Physics 57 (1989), 117–120. , Introduction to Light: The Physics of Light, Vision, and Color, PrenticeHall, 1983. 1 The Symmetry of Nature I don’t know what a photon is, but I know one when I see one. roy glauber (recipient of the Nobel Prize in Physics, 2005, for his contributions to the quantum theory of optical coherence) In the previous chapter we exposed the dual nature of small particles.
The catch is that attempting to obtain information on which path the electron takes ends up destroying the interference altogether. The moral to be drawn from this is that if we set up an experiment to demonstrate the particle-like nature of the electron, surely the particle-like nature will present itself. Contrarily, if we set up an experiment to demonstrate the wave-like nature of electrons, we obtain exactly that, and thus we see that electrons do indeed seem to have “split personalities”. The personality exhibited depends on the nature of the question (that is, the type of experiment) asked of them.
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