Trace:

quantum_field_theory:notions_solitons

This shows you the differences between two versions of the page.

Both sides previous revision Previous revision | |||

quantum_field_theory:notions_solitons [2017/12/06 09:33] 127.0.0.1 external edit |
quantum_field_theory:notions_solitons [2018/03/12 15:56] (current) jakobadmin |
||
---|---|---|---|

Line 18: | Line 18: | ||

</blockquote> | </blockquote> | ||

+ | <blockquote> | ||

A sphaleron is a maximum of the energy functional in the direction of changing winding number, and a minimum in the orthogonal direction. Thus it is a saddle point. (page 336 in An introduction to gauge theories and modern particle physics by E. Leader and E. Predazzi.) | A sphaleron is a maximum of the energy functional in the direction of changing winding number, and a minimum in the orthogonal direction. Thus it is a saddle point. (page 336 in An introduction to gauge theories and modern particle physics by E. Leader and E. Predazzi.) | ||

<blockquote> | <blockquote> | ||

- | [A instanton] is much like a topological soliton in field theory, except that it is localized in time rather than in space | + | |

+ | <blockquote> | ||

+ | [An instanton] is much like a topological soliton in field theory, except that it is localized in time rather than in space | ||

<cite>http://www.weizmann.ac.il/particle/perez/Courses/QMII16/TA4.pdf</cite> | <cite>http://www.weizmann.ac.il/particle/perez/Courses/QMII16/TA4.pdf</cite> | ||

Line 27: | Line 30: | ||

<blockquote> | <blockquote> | ||

- | Before suggesting why [[http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1451226|the paper]] has been so often cited, it is appropriate to explain what the term soliton means. As coined by Zabusky and Kruskal, 1 this term is generic for special solitary wave solutions of certain nonlinear wave equations. What then is a solitary wave? It is a pulse-like wave that travels with constant speed and shape; the effects of dispersion on the wave shape are just balanced by those of nonlinearit y. There is just enough yin for the yang; it is a dynamically self-sufficient object, a ‘thing.’ “Solitons are solitary waves that preserve their speeds and shapes after | + | Before suggesting why [[http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1451226|the paper]] has been so often cited, it is appropriate to explain what the term soliton means. As coined by Zabusky and Kruskal, 1 this term is generic for special solitary wave solutions of certain nonlinear wave equations. What then is a solitary wave? It is a pulse-like wave that travels with constant speed and shape; the effects of dispersion on the wave shape are just balanced by those of nonlinearity. There is just enough yin for the yang; it is a dynamically self-sufficient object, a ‘thing.’ “Solitons are solitary waves that preserve their speeds and shapes after |

mutual collision. They play a role in the | mutual collision. They play a role in the | ||

construction of complete solutions for | construction of complete solutions for |

quantum_field_theory/notions_solitons.txt · Last modified: 2018/03/12 15:56 by jakobadmin