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Dr Faustus of Modern Physics - Department of Speech, Music and ...

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Chapter 42<br />

Copenhagen Interpretation<br />

I cant imagine that an electron hops around like a flea. (Schrödinger)<br />

• I don’t like it (quantum mechanics) <strong>and</strong> I’m sorry I ever had anything<br />

to do with it. (Schrödinger)<br />

• The verbal interpretation, on the other h<strong>and</strong>, i.e. the metaphysics <strong>of</strong><br />

quantum physics, is on far less solid ground. In fact, in more than<br />

forty years physicists have not been able to provide a clear metaphysical<br />

model. (Schrödinger)<br />

• The soothing philosophy - or religion? - <strong>of</strong> Heisenberg-Bohr is so cleverly<br />

concocted that for the present it <strong>of</strong>fers the believers a s<strong>of</strong>t resting<br />

pillow from which they are not easliy chased away. Let us therefore let<br />

them rest. (Einstein)<br />

The Schrödinger equation developed by the 39 year old Austrian physicist<br />

Erwin Schrödinger in a sequence <strong>of</strong> 4 articles in 1926, expresses a balance<br />

<strong>of</strong> kinetic <strong>and</strong> potential energies <strong>of</strong> a set <strong>of</strong> interacting negatively charged<br />

electrons <strong>and</strong> positively charged kernels in the form <strong>of</strong> a partial differential<br />

equation. The potential energy has contribution from attractive <strong>and</strong> repulsive<br />

forces. A solution <strong>of</strong> Schödinger’s equation is called a wave-function .<br />

Schrödinger solved the equation for the one-electron problem <strong>of</strong> the Hydrogen<br />

atom.<br />

Formally the Schrödinger equation is a differential equation in 3N space<br />

dimensions plus time, where N is the number <strong>of</strong> electrons <strong>and</strong> kernels, which<br />

makes it impossible to solve exactly even for N rather small, <strong>and</strong> Nobel Laureate<br />

Walter Kohn insists that for N > 100 − 1000 the wave-function is not<br />

191

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