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醉染图书物质、空间和时间理论——经典理论9787560389776
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Preface
Acknowledgments
Author biographies
1 Least action
1.1 Optics
1.1.1 Snells law
1.1.2 Complicated problems
1.1.3 Light in vacuum
1.1.4 Light in the atmosphere
1.2 Newtonian dynamics
1.2.1 Multiple coordinates
1.2.2 Example: projectile motion
1.. Example 2: double pendulum
1.3 Conservation laws
1.3.1 Ignorable coordinates
1.3.2 Energy conservation
1.3.3 Example: central forces
1.3.4 Hamiltonian and energy
A Calculus of variation
B Mathematics of conservation laws
2 Spe relativity
2.1 The postulates
2.2 Lorentz transformations
2.2.1 Time dilation
2.2.2 Lorentz contraction
. An analogy to rotations
2.4 Four-vectors
2.4.1 Index convention
2.5 The laws of dynamics
2.5.1 Four-velocity
2.5.2 Four-acceleration
2.5.3 Four-momentum
2.5.4 Hypothesis for dynamical law
2.6 Physics with four-momentum
2.6.1 The Doppler effect
2.6.2 The Compton effect
2.6.3 Fixed target experiments
2.6.4 The GZK bound
2.7 Tensors
2.8 Relativistic action
2.9 Lorentz transformations and rotations II
3 Relativistic electromagnetism
3.1 Integral form of Maxwells equations
3.1.1 Gauss law
3.1.2 No magnetic charges
3.1.3 Faradays law
3.1.4 Amperes law
3.2 Differential form of Maxwells equations
3.2.1 Maxwells equations in differential form
3.2.2 Conservation of charge
……
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