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| The algebra of observables in classical mechanics | |
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| States Liouville's theorem, and two pictures of motion in classical mechanics | |
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| Physical bases of quantum mechanics | |
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| A finite-dimensional model of quantum mechanics | |
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| States in quantum mechanics | |
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| Heisenberg uncertainty relations | |
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| Physical meaning of the eigenvalues and eigenvectors of observables | |
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| Two pictures of motion in quantum mechanics. | |
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| The Schrodinger equation. | |
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| Stationary states Quantum mechanics of real systems. | |
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| The Heisenberg commutation relations | |
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| Coordinate and momentum representations | |
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| "Eigenfunctions" of the operators $Q$ and $P$ | |
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| The energy, the angular momentum, and other examples of observables | |
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| The interconnection between quantum and classical mechanics. | |
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| Passage to the limit from quantum mechanics to classical mechanics | |
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| One-dimensional problems of quantum mechanics. | |
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| A free one-dimensional particle | |
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| The harmonic oscillator | |
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| The problem of the oscillator in the coordinate representation | |
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| Representation of the states of a one-dimensional particle in the sequence space $l_2$ | |
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| Representation of the states for a one-dimensional particle in the space $\mathcal{D}$ of entire analytic functions | |
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| The general case of one-dimensional motion | |
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| Three-dimensional problems in quantum mechanics. | |
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| A three-dimensional free particle | |
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| A three-dimensional particle in a potential field | |
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| Angular momentum | |
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| The rotation group | |
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| Representations of the rotation group | |
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| Spherically symmetric operators | |
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| Representation of rotations by $2\times2$ unitary matrices | |
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| Representation of the rotation group on a space of entire analytic functions of two complex variables | |
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| Uniqueness of the representations $D_j$ | |
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| Representations of the rotation group on the space $L^2(S^2)$. | |
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| Spherical functions | |
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| The radial Schrodinger equation | |
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| The hydrogen atom. | |
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| The alkali metal atoms Perturbation theory The variational principle Scattering theory. | |
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| Physical formulation of the problem | |
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| Scattering of a one-dimensional particle by a potential barrier | |
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| Physical meaning of the solutions $\psi_1$ and $\psi_2$ | |
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| Scattering by a rectangular barrier | |
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| Scattering by a potential center | |
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| Motion of wave packets in a central force field | |
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| The integral equation of scattering theory | |
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| Derivation of a formula for the cross-section | |
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| Abstract scattering theory | |
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| Properties of commuting operators | |
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| Representation of the state space with respect to a complete set of observables | |
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| Spin Spin of a system of two electrons | |
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| Systems of many particles. | |
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| The identity principle Symmetry of the coordinate wave functions of a system of two electrons. | |
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| The helium atom Multi-electron atoms. | |
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| One-electron approximation The self-consistent field equations | |
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| Mendeleev's periodic system of the elements | |
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| Lagrangian formulation of classical mechanics | |