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Many-body approach to electronic excitations

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This advanced text unifies the many-body theoretical basis and applications of theoretical spectroscopy in condensed matter, including crystals, nanosystems, and molecules, catering to graduate students and active researchers. It develops theory from first principles, fully incorporating electron-electron and spin interactions, using many-body perturbation theory, quantum-field theory, and Green's functions. Key expressions for ground states and electronic single-particle and pair excitations are explained, with derivations of the Dyson and Bethe-Salpeter equations applied to calculate spectral and response functions. Important spectra are those measurable through photoemission, optical spectroscopy, and electron energy loss/inelastic X-ray spectroscopy, with significant approximations discussed alongside computational and experimental results. The text is organized into four parts: (i) describing many-electron systems within quantum-field theory, including electron spin and spin-orbit interaction, and deriving sum rules; (ii) focusing on the ground state of electronic systems through density functional theory and key approximations for exchange and correlation; (iii) detailing charged electronic excitations, discussing central approximations like Hedin's GW and the T-matrix approximation; and (iv) concentrating on response functions in optical and loss spectroscopies, as well as neutral pair or collective excitations.

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Many-body approach to electronic excitations, Friedhelm Bechstedt

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Année de publication
2015
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