Titlebook: Solved Problems in Quantum and Statistical Mechanics; Michele Cini,Francesco Fucito,Mauro Sbragaglia Textbook 2012 Springer-Verlag Italia

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Michele Cini,Francesco Fucito,Mauro Sbragagliang effectiveness are enhanced. The impurity problem is rendered even more serious by the tendency in modern technology to lower the temperature of the diffusion processes or to replace phosphorus diffusion, which is a wellknown gettering process by phosphorus implantation and rapid thermal processin

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Michele Cini,Francesco Fucito,Mauro Sbragagliaering effectiveness are enhanced. The impurity problem is rendered even more serious by the tendency in modern technology to lower the temperature of the diffusion processes or to replace phosphorus diffusion, which is a well-known gettering process by phosphorus implantation and rapid thermal proce

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Solved Problems in Quantum and Statistical Mechanics978-88-470-2315-4Series ISSN 2038-5714 Series E-ISSN 2532-3318

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Summary of Quantum and Statistical MechanicsIn Quantum Mechanics, the state of a particle in one dimension and in presence of a potential .(.), is entirely described by a complex wave function ψ(.) obeying the time dependent Schrödinger equation . where . is the mass of the particle and ħ is the Planck constant, ., divided by 2π.

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Formalism of Quantum Mechanics and One Dimensional ProblemsLet Â=Â. be an observable operator with a complete set of eigenstates |ϕ.〉 with eigenvalues α. (.=0, 1, 2,...). A generic state is given by . where |ψ.〉,|ψ.〉 are orthonormal. Find . and the probability .. that a measurement of  yields α.. What does it happen in case of degeneracy? Specialize these calculations to the case |ϕ.〉=|ψ.〉.

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Central Force FieldLet us consider a particle subject to the following three dimensional harmonic potential . with . the radial distance in spherical polar coordinates. Discuss the properties of the associated Schrödinger equation for .≈0 and .→+∞.

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