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出版社:世界圖書出版公司
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ISBN:7506242559
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作者:L.D.Landau等編
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頁數:170
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出版日期:1999-05-01
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印刷日期:2007-10-01
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包裝:平裝
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版次:3
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印次:2
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THIS book continues the series of English translations of the revised and augmented volumes in the Course of Theoretical Physics, which have been appearing in Russian since 1973.The English translations of volumes 2 (Classical Theory of Fields) and 3 (Quantum Mechanics) will shortly both have been published.Unlike those two, the present volume 1 has not required any considerable revision, as is to be expected in such a well- established branch of theoretical physics as mechanics is.Only the final sections, on adiabatic invariants, have been revised by L.P.Pitaevskil and myself.
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Preface to the third English edition . L.D. Landau—a biography I. THE EQUATIONS OF MOTION 1. Generalised co-ordinates 2. The principle of least action 3. Galileo's relativity principle 4. The Lagrangian for a free particle 5. The Lagrangian for a system of particles II. CONSERVATION LAWS 6. Energy 7. Momentum 8. Centre of mass 9. Angular momentum 10. Mechanical similarity III. INTEGIRATION OF THE EQUATIONS OF MOTION 11. Motion in one dimension 12. Determination of the potential energy from the period of oscillation 13. The reduced mass 14. Motion in a central field 15. Kepler's problem IV. COLLISIONS BETWEEN PARTICLES 16. Disintegration of particles 17. Elastic collisions 18. Scattering 19. Rutherford's formula 20. Small-angle scattering V. SMALL OS ILLATIONS 21. Free oscillations in one dimension 22. Forced oscillations 23. Oscillations of systems with more than one degree of freedom 24. Vibrations of molecules 25. Damped oscillations 26. Forced oscillations under friction 27. Parametric resonance 28. Anharmonic oscillations 29. Resonance in non-linear oscillations 30. Motion in a rapidly oscillating field VI. MOTION OF A RIGID BODY 31. Angular velocity 32. The inertia tensor 33. Angular momentum of a rigid body 34. The equations of motion of a rigid body 35. Eulerian angles 36. Euler's equations 37. The asymmetrical top 38. Rigid bodies in contact 39. Motion in a non-inertial frame of reference VII. THE CANONICAL EQUATIONS 40. Hamilton's equations 41. The Routhian 42. Poisson brackets 43. The action as a function of the co-ordinates 44. Maupertuis' principle 45. Canonical transformations 46. Liouville's theorem 47. The Hamilton-Jacobi equation 48. Separation of the variables 49. Adiabatic invariants 50. Canonical variables 51. Accuracy of conservation of the adiabatic invariant 52. Conditionally periodic motion Indx
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