Raftul cu initiativa Book Archive

Atomic Nuclear Physics

Elements of Nuclear Physics by Walter E. Meyerhof

By Walter E. Meyerhof

For undergraduate physics scholars or for nuclear engineers.

Show description

Read Online or Download Elements of Nuclear Physics PDF

Similar atomic & nuclear physics books

Quantum optics: quantum theories of spontaneous emission

The aim of this text is to study spontaneous emission from a number of various viewpoints, even though a wide a part of it is going to be dedicated to the quantum statistical theories of spontaneous emission which were built lately, and to discussing the interrelations between diverse techniques.

Extra resources for Elements of Nuclear Physics

Example text

Note that complex ‘Hamiltonians’ could also follow from the Dyson device which is based upon the so-called adiabatic theorem from formal scattering theory [145]–[157]. This amounts to a modification consisting of including the damping factor i η ˆ ˆ −→ Ve ˆ −iη which is from G(ω) directly into the total interaction potential V ˆ a part of . Alternatively, one could use the well-known rotated coordinate method (RCM) [207]–[210], which is also called the complex scaling method, to construct a complex ‘Hamiltonian’ ˆ , which is non-Hermitean1.

9), associated with ˆ , we shall also consider the Copyright © 2005 IOP Publishing Ltd. 21) where the frequency ω is real as before. The exact quantum-mechanical spectrum ˆ of the operator R(u) is defined through the following Green function Ê(u) = ( ˆ 0 |R(u)| 0 ). 6) to write down at once the following approximations ˆ R(u) ≈ K k=1 πˆ k u − uk Ê(u) ≈ K k=1 dk . 8), an infinite set {cn }∞ n=0 is needed. However, N−1 N−1 generally any set of time signals {cn }n=0 or auto-correlation functions {Cn }n=0 is of a finite length N < ∞.

E. the signal c(t) would cease to have any direct physical meaning, since c(t) −→ ∞ as t −→ ∞. This situation will remain incurable as long as one keeps adding up directly the partial sums of the time signal, as a linear combination of exponentials {exp (−i ωk t)}. However, such a divergent set of partial sums could still be computed with a finite result |c(t)| < ∞ by means of certain sequence-to-sequence nonlinear transformations that are capable of converting divergent into convergent sequences through the concept of the anti-limit [72].

Download PDF sample

Rated 4.52 of 5 – based on 34 votes