Angular Momentum in Quantum Mechanics by A. R. Edmonds

By A. R. Edmonds

This ebook deals a concise advent to the angular momentum, some of the most basic 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 speak about the Clebsch-Gordan coefficients for a two-component method. After constructing the required arithmetic, particularly round tensors and tensor operators, the writer then investigates the 3-j, 6-j, and 9-j symbols. all through, the writer offers functional functions to atomic, molecular, and nuclear physics. those contain partial-wave expansions, the emission and absorption of debris, the proton and electron quadrupole second, matrix point calculation in perform, and the houses of the symmetrical most sensible molecule.

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This is particularly disturbing since one would think that given the highly quantitative understanding that we have of nuclear processes, quark presence should somehow manifest itself – if not directly – in subtle discrepancies between what one measures and what one calculates in terms solely of hadronic variables. So far no such discrepancy has shown up. It is instructive to compare the situation with another long-standing problem of nuclear physics which, however, is now well-understood, namely, meson-exchange currents.

It is still quite puzzling why their imprints do not show up in lowenergy phenomena taking place in nuclear many-body systems. This is particularly disturbing since one would think that given the highly quantitative understanding that we have of nuclear processes, quark presence should somehow manifest itself – if not directly – in subtle discrepancies between what one measures and what one calculates in terms solely of hadronic variables. So far no such discrepancy has shown up. It is instructive to compare the situation with another long-standing problem of nuclear physics which, however, is now well-understood, namely, meson-exchange currents.

Nuclear physicists have adopted this point of view, and I gather that they are happy about using this new language because it allows one to show in a fairly convincing way that what they’ve been doing all along (using two-body potentials only, including one-pion exchange and a hard core) is the correct first step in a consistent approximation scheme.... ” We should stress that one of the main themes of this volume is indeed that what nuclear physicists have been doing, albeit in a language different from that of QCD proper, constitutes a correct first step or doorway to unraveling the physics under extreme conditions treated in this volume.

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