DOI 10.1007/978-3-319-21677-5_38

Unfortunately, a few typos have been left uncorrected in the initial version published online and in print. The version supplied here has been corrected and approved by the author.

Following typos are corrected in this corrected version:

p. 36, in ( 4.58 ): \(\cot \omega \frac{\left (t_{2}-t_{1}\right )} {2}\)

p. 73, ( 6.75 ): \(\dot{q} = \frac{\partial H} {\partial p} \ not\ \dot{q} = \frac{\partial H} {\partial q}\)

p. 83, after ( 7.44 ): (6.69) not (5.69)

p. 84, after ( 7.46 ): (6.70) not (5.70)

p. 108 , ( 8.52 ): B → B0

p. 144, 2 lines before ( 11.26 ): H   →  H1

p. 152, 6 th  line from top: frequency not frequently

p. 154, equation ( 11.74 ): \(J = \frac{1} {2\pi }\oint pdq,\omega = \frac{\partial H} {\partial J}\)

$$\displaystyle{\omega \ not\ \mathrm{w}}$$

p. 156, 3 rd  and 4 th  line from top: \(J_{n}\left (k_{\perp }\bar{\varrho }\right )\)

p. 156, 5 th  line from top: \(\bar{\rho }\left (\bar{P}_{\phi }\right ) = \sqrt{2\bar{P}_{\phi }/m\varOmega }\)

p. 156, 7 th  line from top: \(\bar{\rho }^{2} = \frac{2} {m\varOmega }\bar{P}_{\phi }\)

p. 157, before ( 12.1 ): Chap. 10, not Chap. 7

p. 158: 13 th  line, after “or”: \(\tilde{H}\left (\ldots \right ) = H\left (\ldots \right ) +\varepsilon \frac{\partial W\left (\ldots ,\varepsilon \bar{q}_{i}\ldots \right )} {\partial \left (\varepsilon t\right )} ,\ \mathrm{i.e.,}\ \bar{q}_{i}\ \mathrm{not}\ q_{i}\)

p. 163, first line: Chap. 10, not Chap. 7

p. 165, line after ( 13.3 ): (10.28/10.29) not (11.28/11.29)

p. 170, 9 th line from top: Chap. 11, not Chap. 10

p. 206, after ( 17.6 ), insert:

Now we can start to quantize the theory. We begin with the important concepts of transition amplitude and probability.

p. 243, in ( 19.70 ): \(\left (x_{1}^{2} + x_{2}^{2}\right )\)

p. 268, 1 st line after ( 21.39 ): Chap. 5, not Chap. 4