Titlebook: Exercises in Quantum Mechanics; A Collection of Illu Harry A. Mavromatis Book 1987 Springer Science+Business Media Dordrecht 1987 quantum m

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Uncertainty Principle and Ground State Energies of Quantum Mechanical Systems,Consider a particle moving subject to a potential V(x) = A|x|., -∞>x<∞. Classically the particle’s energy is: ..

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Two and Three Versus One-Dimensional Problems,The one-dimensional Schr?dinger equation for a particle in a potential V. (x) is . where ..

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,‘Kramer’ Type Expressions, The Virial Theorem and Generalizations,Consider a particle moving in a central potential V(r) = Ar.. The (radial) differential equation for u. (r) = r R.(r), (where the complete wave-function ψ(r, θ, ?) = R.(r) Y.(θ, ?)) is . with boundary conditions that u.(0) = 0, and u.(r) → 0.

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Upper Bounds and Parity Considerations,Consider a system with a Hamiltonian H such that

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