Quantum Mech and Strings

MATH490

This course will cover the basic principles of quantum mechanics and the roles that symmetries play in this subject. We then proceed to describe how this may be applied to a fundamental string-like object. We recover the fact that this works best in 26 dimensions. We then see how supersymmetry arises very naturally in a quantum mechanical description of strings, and how this can be used to lower the critical dimension to 10 as well remove unpleasant tachyons. This course does not require a prior knowledge of quantum mechanics, but that would be helpful. Prerequisits: A solid understanding of linear algebra, e.g., MATH 221.

 

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