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Strategies & Market Trends : Quantum Economics.......2012 and Beyond -- Ignore unavailable to you. Want to Upgrade?

To: dvdw© who wrote (147)	2/20/2013 7:01:06 AM
From: dvdw©	Respond to of 1311

Probability amplitude From Wikipedia, the free encyclopedia Jump to: navigation, search 5d1 atomic orbital of an electron in a hydrogen atom. The rigid body shows the places where the electron's probability density is above a certain value (here 0.02 nm-3): this is calculated from the probability amplitude. The color shows the complex phase of the wavefunction. In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density. For example, if the probability amplitude of a quantum state is , the probability of measuring that state is . The values taken by a normalized wave function ? at each point x are probability amplitudes, since \|?(x)\|2 gives the probability density at position x. The principal use of probability amplitudes is as the physical meaning of the wavefunction, a link first proposed by Max Born and a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the wave function were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation was offered. Born was awarded half of the 1954 Nobel Prize in physics for this understanding, [1] though it was vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. Therefore, the probability thus calculated is sometimes called the "Born probability", and the relationship used to calculate probability from the wavefunction is sometimes called the Born rule. These probability amplitudes have special significance because they act in quantum mechanics as the equivalent of conventional probabilities, with many analogous laws. For example, in the classic double-slit experiment where electrons are fired randomly at two slits, an intuitive interpretation is that P(hit either slit) = P(hit first slit) + P(hit second slit), where P(event) is the probability of that event. However, it is impossible to observe which slit is passed through without altering the electron. Thus, when not watching the electron, the particle cannot be said to go through either slit and this simplistic explanation does not work. However, the complex amplitudes taken by the two wavefunctions which represent the electron passing each slit do follow a law of precisely the form expected (?total =?first + ?second), and the calculations agree with experiment. This is the principle of quantum superposition, and explains the requirement that amplitudes be complex, as a purely real formulation has too few dimensions to describe the system's state when superposition is taken into account. [2] en.wikipedia.org

To: dvdw© who wrote (147)

4/25/2013 6:15:18 AM

From: dvdw©

Respond to of 1311

Quantum economic thoughts;

To: elmatador who wrote (100369)	4/25/2013 5:40:56 AM
From: dvdw©	of 100376

This text "The developed countries must learn to spread capital evenly. They are still with the old ideas that hogging capital is good." Might be better written by making some changes: you might instead say, Developed companies, must learn to Shape Earned Capital, not be content with inertia, which only fuels malfeasance, misappropriation, and human denigration. Capital in motion, funding innovation, builds awareness about potential that goes largely unrecognized, within the habits of oligarchy. Clear choices abound, clear thinking, not so much. Disparate actions in shaping capital expand horizons, counterprogram inertia, because it is only the action of shaping from enlightened self interest that sets the distinction between good and bad investment. So much failure in this last 10 years alone is the evidence, as the misapplication of resources has shown, that capital projected out of political power, is capital ill spent. Recognition is the first step toward innovation, when you leave the recognition part to those not enlightened to discovery, you get wholesale committees making decisions based on political self interest and absolute denigration of truth values required to produce favorable economics. It boils down to Degrees of freedom, in pursuit of potential.