Angular Momentum in Quantum Mechanics by A. R. Edmonds

By A. R. Edmonds

This booklet deals a concise advent to the angular momentum, the most primary amounts in all of quantum mechanics. starting with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the writer is going directly to talk about the Clebsch-Gordan coefficients for a two-component approach. After constructing the mandatory arithmetic, in particular round tensors and tensor operators, the writer then investigates the 3-j, 6-j, and 9-j symbols. all through, the writer presents sensible functions to atomic, molecular, and nuclear physics. those comprise partial-wave expansions, the emission and absorption of debris, the proton and electron quadrupole second, matrix point calculation in perform, and the homes of the symmetrical most sensible molecule.

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Experimental realization of any discrete unitary operator, Physical Review Letters 73 (1994), 58–61, See also [Mur62]. [Sch35] Schr¨ odinger, Erwin, Die gegenw¨ artige Situation in der Quantenmechanik, Naturwissenschaften 23 (1935), 807–812, 823–828, 844– 849, English translation in [Tri80] and [WZ83, pp. 152-167]. [Spe60] Specker, Ernst, Die Logik nicht gleichzeitig entscheidbarer Aussagen, Dialectica 14 (1960), 175–182, Reprinted in [Spe90, pp. 175–182]. [Spe90] Specker, Ernst, Selecta, Birkh¨ auser Verlag, Basel, 1990.

152-167]. [Spe60] Specker, Ernst, Die Logik nicht gleichzeitig entscheidbarer Aussagen, Dialectica 14 (1960), 175–182, Reprinted in [Spe90, pp. 175–182]. [Spe90] Specker, Ernst, Selecta, Birkh¨ auser Verlag, Basel, 1990. [ST96] Svozil, Karl and Tkadlec, Josef, Greechie diagrams, nonexistence of measures in quantum logics and Kochen–Specker type constructions, Journal of Mathematical Physics 37 (1996), no. 11, 5380–5401. [Sta83] Stairs, Allen, Quantum logic, realism, and value definiteness, Philosophy of Science 50 (1983), 578–602.

Tka96] Tkadlec, Josef, Greechie diagrams of small quantum logics with small state spaces, preprint, 1996. [Tri80] Trimmer, J. , The present situation in quantum mechanics: a translation of Schr¨ odinger’s “cat paradox”, Proc. Am. Phil. Soc. 124 (1980), 323–338, Reprinted in [WZ83, pp. 152-167]. , Geometry of quantum theory i, van Nostrand, Princeton, 1968. [Var70] Varadarajan, V. , Geometry of quantum theory ii, van Nostrand, Princeton, 1970. 30 [WZ83] Wheeler, John Archibald and Zurek, Wojciech Hubert, Quantum theory and measurement, Princeton University Press, Princeton, 1983.

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