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Lagrangian And Hamiltonian Mechanics
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Lagrangian And Hamiltonian Mechanics

 

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian–Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical“hidden” momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the“(e/c)A” term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton–Jacobi equation of mechanics, the eikonal equation of optics, and the Schrödinger equation of quantum mechanics.

The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.

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This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian–Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical“hidden” momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the“(e/c)A” term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton–Jacobi equation of mechanics, the eikonal equation of optics, and the Schrödinger equation of quantum mechanics.

The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.

Produktdetaljer
Sprog: Engelsk
Sider: 228
ISBN-13: 9789810226725
Indbinding: Hardback
Udgave:
ISBN-10: 9810226721
Kategori: Klassisk mekanik
Udg. Dato: 4 jul 1996
Længde: 21mm
Bredde: 225mm
Højde: 162mm
Oplagsdato: 4 jul 1996
Forfatter(e) Melvin G. Calkin, Melvin G (Dalhousie Univ Calkin, Melvin G Calkin


Kategori Klassisk mekanik


Sprog Engelsk


Indbinding Hardback


Sider 228


Udgave


Længde 21mm


Bredde 225mm


Højde 162mm

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