Titlebook: Quantum Mechanics for Material Science; An Introduction Gianluca Stefanucci Textbook 2024 The Editor(s) (if applicable) and The Author(s),

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,Spin and Addition of Angular Momenta, uniform magnetic field .. As we know, due to the presence of the magnetic field, the Hamiltonian changes. In Eq. (.), we precisely derived the form of the Hamiltonian that suits our case, i.e., that of a particle exposed to a uniform magnetic field.

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,The Fundamental Concepts of Quantum Mechanics,molecule ion, H.. This ion consists of two protons, located at a distance of about . m, and one electron. The mass of the protons is . Kg, which is approximately 1800 times greater than the mass of the electron, . Kg. We can then treat the two protons as fixed in their equilibrium positions, denoted

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Approximation Methods,potentials, the harmonic oscillator, the hydrogen atom, and a few others. By “exactly solving a problem” here, we mean the exact diagonalization of the Hamiltonian operator, i.e., the calculation of its eigenvalues and eigenkets. In the vast majority of cases, exact diagonalization is extremely comp

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https://doi.org/10.1007/978-3-031-60171-2Introduction to quantum mechanics; QM for Materials Sciences students; Basic concepts of quantum mecha

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,Quantum Particle in One Dimension,In this chapter, we study problems in quantum mechanics for a single particle in one dimension.