Titlebook: Quantum Mechanics; From Basic Principle Louis Marchildon Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Quantum physics.atomic orbita

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Spin and Magnetic Moment,and molecules. It is connected with angular momentum and magnetic moment. Historically, atomic magnetic moments were revealed in the Stern—Gerlach experiment, which we will describe schematically. Analysis of this experiment will lead, through natural hypotheses and the investigation of spatial rota

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Particle in Three Dimensions,rators, however, are new. Closely linked with the particle in three dimensions, they are much like the spin operators we examined in Chap. 4. Angular momentun operators are particularly useful where the potential is spherically symmetric. They help in partially solving the problem of the Hamiltonian

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Numerical Solution,ons. In most cases one must turn to approximate methods. These, we will see, are very different from one another. Not all methods are adapted to any specific problem, each method having its own domain of application.

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Stationary Scattering States,y) . We will treat scattering by means of the Hamiltonian’s eigenvalue equation, focussing on the continuous spectrum associated with a given potential. After defining the scattering cross section, we will transform the eigenvalue equation into an integral equation for the wave function. The integra

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The Density Operator,a Hermitian operator called the density operator. The usefulness of that operator comes from the fact that it can represent not only the state of an isolated system, but also the state of a system that genuinely interacts with the environment, or even the state of an ensemble of systems prepared in