Titlebook: Quantum Mechanics; Symbolism of Atomic Julian Schwinger,Berthold-Georg Englert Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Atomic

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hing: the notation. Lest one think this rather triv­ ial, recall that the ultimate abandonment, early in the 19th century, of Newton‘s method of fluxions in favor of the Leibnizian calcu978-3-642-07467-7978-3-662-04589-3

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aplomb

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Continuous , Degree of FreedomThe completeness of the . or . vectors is expressed, for example, by the summation

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Quantum Action PrincipleConsider infinitesimal displacements of the time origin, . and the implied unitary transformation, . where ., the Hamiltonian operator, depends upon a set of variables for the system, ..(.), and possibly on . itself. When we shift the origin, the variables are redefined, . or . where . so that

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Hydrogenic AtomsNow we are going to do a nice little trick: turn one kind of dynamical system into another one. Begin with the differential equation (7.4.60) that determines the energy eigenstates of the two-dimensional isotropic oscillator ., and put ..

muscle-fibers

Identical ParticlesWe now begin the construction of an algebraic theory of identical particles known (inaccurately) as second quantization. A brief reference, in the context of angular momentum, already appears on page 158.