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Students will deepen their study of Quantum Mechanics by learning the general formalism. Students will be challenged by the strange and puzzling aspects of the theory. Students will learn various approximation techniques for solving complicated systems.
The objective of this module is to educate students in the General Theory of Relativity in a way that introduces just enough of the mathematical tools required, namely pseudo Riemannian geometry, so that many applications of the theory can be considered. Students will learn about curved geometries mainly through simple examples and by taking the point of view of a freely falling observer. Applications will include: a discussion of the classic test of general relativity involving planetary motion and bending of light; the strange geometry of black-holes, wormholes and warp drive space-times. Finally students will learn how general relativity determines the dynamics of the whole universe.