By I. T. Todorov, D. Ter Haar

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Nobody knew how to compute the frequencies of spectral lines, nor their intensities. In fact, nobody understood why atoms were stable and could exist at all. Progress was slow. First, came the “old” quantum theory. In 1913, Bohr 20 suggested that the only stable electronic orbits were those for which the angular 18 B. : Reality and the Physicist, Cambridge Univ. Press (1989). 19 F. Arago and A. Fresnel, Ann. de Chimie et Physique 10 (1819) 288. 20 N. Bohr, Phil. Mag. 26 (1913) 1, 476, 857. Historical remarks 19 MÉMOIRE Sur l’ Action que les rayons de lumiére polarisés exercent les uns sur les autres.

A situation more instructive than identical consecutive tests is that of different consecutive tests, such as those illustrated in Fig. 2, which represents a double Stern-Gerlach experiment for particles of spin 1. Fig. 2. Two consecutive Stern-Gerlach experiments for particles of spin 1. The drawing has been compressed by a factor 10 in the longitudinal direction. Let I m denote the intensities of the three beams leaving the first magnet. ) Let the angular separation of these three beams be sufficient, so that they do not overlap when they enter the second magnet.

2 N. Bohr, Phys. Rev. 48 (1935) 696. 26 Quantum Tests very difficult, and it is ruled out for sure by budgetary constraints; but it is not ruled out by the laws of physics—as they are known today. Therefore it is legitimate to use quantum mechanics to compute the physical properties of a stellar plasma, just as it is used to discuss metallic conduction, or helium superfluidity, that we observe in our laboratory. The essence of quantum theory is to provide a mathematical representation of states (that is, of preparation procedures), together with rules for computing the probabilities of the various outcomes of any test.