Operators, Geometry and Quanta: Methods of Spectral Geometry by Dmitri Fursaev,Dmitri Vassilevich

By Dmitri Fursaev,Dmitri Vassilevich

This e-book provides a close and self-contained advent into the speculation of spectral capabilities, with an emphasis on their purposes to quantum box concept. All equipment are illustrated with purposes to express actual difficulties from the vanguard of present examine, comparable to finite-temperature box conception, D-branes, quantum solitons and noncommutativity. within the first a part of the e-book, priceless historical past info on differential geometry and quantization, together with much less usual fabric, is amassed. the second one a part of the booklet features a targeted description of major spectral capabilities and strategies in their calculation. within the 3rd half, the idea is utilized to numerous examples (D-branes, quantum solitons, anomalies, noncommutativity). This booklet addresses complex graduate scholars and researchers in mathematical physics with simple wisdom of quantum box thought and differential geometry. the purpose is to organize readers to take advantage of spectral capabilities of their personal learn, specifically on the subject of warmth kernels and zeta functions.

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