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Titlebook: General Principles of Quantum Mechanics; Wolfgang Pauli Book 1980 Springer-Verlag Berlin Heidelberg 1980 Quantenmechanik.atomic physics.co

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Bradley J. Adams PhD,Pamela J. Crabtree PhDhich the matrix elements of the electric moment of the atom were associated directly with the electric field strengths of the light emitted in the corresponding processes. This association was based on classical electrodynamics. The formalism was then extended to dispersion phenomena by Born, Heisen
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: Development, Disillusion and Divergence,um mechanics. We shall treat here only the relativistic one-particle problem which is dominated by Dirac’s wave equation. and which describes the behaviour of an electron in a given external electromagnetic field.
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978-3-540-09842-3Springer-Verlag Berlin Heidelberg 1980
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https://doi.org/10.1007/978-3-030-74874-6For many applications it is essential to have an approximate method of solving the wave equation, which can be used, if the energy matrix is not completely diagonal, but the non-diagonal elements . are small compared to the differences between the diagonal elements:
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https://doi.org/10.1057/9780230106703If the Hamiltonian operator is invariant under a certain group of transformations of variables, it follows that from a solution .(.) of the wave equation, new solutions (of the wave equation) can be obtained by performing the transformations of the group on the original solution.
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Matrix Mechanics,We can establish an important connection between the operators acting on the functions . and the matrices associated with the operators, using the completeness relation. If . is a linear operator, then corresponding to every eigenfunction . there is an expansion..
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