عنوان

Special relativity

شماره استاندارد

2147

نام نخستين پديدآور

Faraoni, Valerio.

خط فهرست نويسي و خط اصلي شناسه

author

عنوان اصلي

Special relativity

نام خاص و کميت اثر

1 online resource )xviii, 304 pages( : illustrations

عنوان فروست

Undergraduate lecture notes in physics,2912-1974

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Fundamentals of Special Relativity. Introduction ; The Principle of Relativity ; Groups the Galilei group ; Galileian law of addition of velocities ; The lesson from electromagnetism ; The postulates of Special Relativity ; Consequences of the postulates ; Conclusion ; Problems -- The Lorentz transformation. Introduction ; The Lorentz transformation ; Derivation of the Lorentz transformation ; Mathematical properties of the Lorentz transformation ; Absolute speed limit and causality ; Length contraction from the Lorentz transformation ; Time dilation from the Lorentz transformation ; Transformation of velocities and accelerations in Special Relativity ; Matrix representation of the Lorentz transformation ; The Lorentz group ; The Lorentz transformation as a rotation by an imaginary angle with imaginary time ; The GPS system ; Conclusion ; Problems -- The 4-dimensional world view. Introduction ; The 4-dimensional world ; Spacetime diagrams ; Conclusion ; Problems -- The formalism of tensors. Introduction ; Vectors and tensors ; Contravariant and covariant vectors ; Contravariant and covariant tensors ; Tensor algebra ; Tensor fields ; Index-free description of tensors ; The metric tensor ; The Levi-Civita symbol and tensor densities ; Conclusion ; Problems -- Tensors in Minkowski spacetime. Introduction ; Vectors and tensors in Minkowski spacetime ; The Minkowski metric ; Scalar product and length of a vector in Minkowski spacetime ; Raising and lowering tensor indices ; Causal nature of 4-vectors ; Hypersurfaces ; Gauss theorem ; Conclusion ; Problems -- Relativistic mechanics. Introduction ; Relativistic dynamics of massive particles ; The relativistic force ; Angular momentum of a particle ; Particle systems ; Conservation of mass-energy ; Conclusion ; Problems -- Relativistic optics. Introduction ; Relativistic optics: null rays ; The drag effect ; The Doppler effect ; Aberration ; Relativistic beaming ; Visual appearance of extended objects ; Conclusion ; Problems -- Measurements in Minkowski spacetime. Introduction ; Energy of a particle measured by an observer ; Frequency measured by an observer ; A more systematic treatment of measurement ; The 3+1 splitting ; Conclusion ; Problems -- Matter in Minkowski spacetime. Introduction ; The energy-momentum tensor ; Covariant conservation ; Energy conditions ; Angular momentum ; Perfect fluids ; The scalar field ; The electromagnetic field ; Conclusion ; Problems -- Special Relativity in arbitrary coordinates. Introduction ; The covariant derivative ; Spacetime curves and covariant derivative ; Physics in Minkowski spacetime revisited ; Conclusions ; Problems -- Solutions to selected problems -- References -- Index

عنصر شناسه ای

، Special relativity )Physics(

عنصر شناسه ای

، Physics

عنصر شناسه ای

، Classical and Quantum Gravitation, Relativity Theory

عنصر شناسه ای

، Mathematical Applications in the Physical Sciences

شماره

شماره رده

کد نقش

AU

عنصر شناسه اي

Valerio Faraoni

عنصر شناسه اي

TI

عنصر شناسه اي

SE

عنصر شناسه اي

SE Undergraduate lecture notes in physics

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