عنوان

Special relativity

Standard Number

2147

First Statement of Responsibility

Faraoni, Valerio.

author

Title Proper

Special relativity

Specific Material Designation and Extent of Item

1 online resource )xviii, 304 pages( : illustrations

Series Title

Undergraduate lecture notes in physics,2912-1974

Text of Note

Includes bibliographical references and index

Text of Note

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

Entry Element

، Special relativity )Physics(

Entry Element

، Physics

Entry Element

، Classical and Quantum Gravitation, Relativity Theory

Entry Element

، Mathematical Applications in the Physical Sciences

Number

Class number

Relator Code

AU

Entry Element

Valerio Faraoni

TI

SE

SE Undergraduate lecture notes in physics

Shelving Form of Title, Author, Author/Title

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