Quantum Mechanics: Genesis and Achievements
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
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angular momentum approximation asymptotics Bohr Bohr’s calculate charge and current classical coefﬁcients commutation relations continuous spectrum correspondence principle current densities deﬁned deﬁnition denotes differential dipole Dirac equation eigenfunctions eigenvalues eigenvector Einstein electric electrodynamics electromagnetic electron beam energy equa equilibrium equivalent experimentally external ﬁeld ﬁrst follows formula Fourier frequency Genesis and Achievements Hamiltonian Heisenberg Hence hydrogen atom identity implies inﬁnity integral interaction invariant Komech Lagrangian density Landé Lemma light limiting amplitude Lorentz equation magnetic field magnetic moment matrix Maxwell equations Maxwell field Maxwell potentials nonrelativistic obtain orbital oscillators particles Pauli Pauli equation perturbation photoelectric effect Planck’s problem Proof quantization Quantum Mechanics quantum observables quantum stationary radiation relativistic respect rotations scattering Schrödinger equation Schrödinger theory Sect similarly solitons solution space spectral lines spherical spin Springer Science+Business Media Substituting suggested symmetry term Theorem tion transformation vector Verify wave equations wave function wavelength Zeeman effect