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The Physics of Warm Nucleiwith Analogies to Mesoscopic Systems$
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Helmut Hofmann

Print publication date: 2008

Print ISBN-13: 9780198504016

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780198504016.001.0001

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Formal means

Formal means

(p.589) 26 Formal means
The Physics of Warm Nuclei

Helmut Hofmann

Oxford University Press

This chapter elucidates various mathematical formulas. Based on expressions for Gaussian integrals in one and many dimensions, the methods of stationary phase and steepest descent are deduced, representations of the delta-function are given and applied to Fourier and Laplace transformations. For quantal operators, the Mori product is introduced and an important formula for the derivative of exponentials is shown. Elementary properties of spin and isospin are discussed; for fermions, the formalism of second quantization is produced.

Keywords:   Gaussian integrals, stationary phase, steepest descent, delta-function, Fourier transformation, Laplace transformation, Mori product, derivative of exponential operator, spin and isospin, second quantization

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