Titlebook: Visual Quantum Mechanics; Selected Topics with Bernd Thaller Textbook 2000 Springer Science+Business Media New York 2000 Dirac equation.Pot

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phenomena that cannot be seen by any other means. Visual Quantum Mechanics relies heavily on visualization as a tool for mediating knowledge. The book comes TM with a CD-ROM containing about 320 digital movies in QuickTime f- mat, which can be watched on every multimedia-capable computer. These comp

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Visualization of Wave Functions,er is given by the hue and the absolute value is described by the lightness of the color (the saturation is always maximal). On the CD-ROM you will find the Mathematica packages ArgColorPlot.m and ComplexPlot.m which implement this color map on a computer. These packages have been used to create mos

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States and Observables,values of an observable in a given state..The transition from classical to quantum mechanics can be formally achieved by replacing the classical observables with linear operators according to the following substitution rule. Always replace the position variable . with the operator of multiplication

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Boundary Conditions,can be described as eigenvectors of the Hamiltonian operator. As a consequence, the quantum-mechanical energy of a particle in a box cannot have arbitrary values. The only possible energies are given by a discrete set of eigenvalues of the Hamiltonian operator—a fact that cannot be understood by cla

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Linear Operators in Hilbert Spaces,he canonical commutation relations, the corresponding unitary groups satisfy the Weyl relations. We shall have occasion to use the Weyl relations for calculating the time evolution of harmonic oscillator states in the next chapter..A system is said to be symmetric with respect to a certain group of

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