Report On the Quantum Theory of Spectra

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In fact, proceeding to quantize also the inclination u.
of the plane of the orbit with respect to an arbitrarily fixed reference plane, he finds that cos a can assume only rational values, viz. „ C0Sa = f—, (22) n 2 + n s _ v ' where n 3 is a new integer, corresponding to I p^dip = n 3 h, where ^ Jo 16 THE QUANTUM THEORY OF SPECTRA is an angular coordinate (fixing, together with r and another angle, the position in space), and p^ the corresponding moment. But, in the absence of any physically g
...iven direction (say, an actually given axis of symmetry) such an ' orientation of the orbit plane in space ' is obviously meaningless. Sommerfeld is well aware of this fact, and he discusses this matter only in view of considerations con- cerning such phenomena as the Stark effect, in which the external (homogeneous) electric field offers an axis of reference. He mentions, in fact, in this connection Epstein's investigations on the Stark effect, without, however, entering deeply into them. We shall come to -the quantum theory of the Stark effect, as worked out by Epstein and Bohr himself, a little later.

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