General Principles of Quantum Mechanics
I am very happy to accept the translators' invitation to write a few lines of introduction to this book. Of course, there is little need to explain the author. Pauli's first famous work, his article on the theory of relativity in the Encyc!opiidie der Mathematischen Wissenschaften was written at the age of twenty. He afterwards took part in the development of atomic physics from the still essentially classical picture of Bohr's early work to the true quantum mechanics. Thereaftt'f, some of his work concerned the treatment of problems in the framework of the new theory, especially his paper on the hydrogen atom following the matrix method without recourse to Schrodinger's analytic form of the theory. His greatest achievement, the exclusion principle, generally known today under his own name as the Pauli principle, that governs the quantum theory of all problems including more than one electron, preceded the basic work of Heisenberg and Schrodinger, and brought him the Nobel prize. It includes the mathematical treatment of the spin by means of the now so well known Pauli matrices. In 1929, in a paper with Heisenberg, he laid the foundation of quantum electrodynamics and, in doing so, to the whole theory of quantized wave fields which was to become the via regia of access to elementary particle physics, since here for the first time processes of generation and annihilation of particles could be described for the case of the photons.
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The Measurement of Position and Momentum
The Wave Function of a Particle Acted on by Forces
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according to eq angular momentum antisymmetric approximation arbitrary functions atom calculation classical mechanics coefficients commute components condition considered constant continuity equation corresponding defined definite denotes density determined diagonal differential equation diffraction eigenfunctions eigenvalues electron expectation value expression external fact factor field strengths finite follows free particle frequency further generalisation given Hamiltonian operator Heisenberg hence Hermitian Hermitian matrix Hermitian operator infinitesimal integral interaction introduce linear Lorentz Lorentz transformations material particle matrix elements matrix mechanics mean value measurement normalised obtain operator F orthogonal P.A.M. Dirac particular Pauli perturbation photon Phys Physik position co-ordinates possible potential probability problem Proc properties quantisation quantities Quantum Electrodynamics quantum mechanics quantum numbers quantum theory radiation region relation relativistic invariance representation result rotations satisfy scattered Schrodinger solution spin stationary symmetric term tion transformation unitary vanishes vector velocity wave equation wave function Wave Mechanics wave-length wave-packet