Teaching Quantum Formalism and Postulates to First-Year Undergraduates

• URL: http://arxiv.org/abs/2412.02017v1
• Date: Mon, 02 Dec 2024 22:39:34 GMT
• Title: Teaching Quantum Formalism and Postulates to First-Year Undergraduates
• Authors: Jeremy Levy, Chandralekha Singh,
• Abstract summary: The only pre-requisite is a familiarity with vector dot products. This approach enables students to learn Dirac notation and core postulates of quantum mechanics at a much earlier stage in their academic career.
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• Abstract: Traditional approaches to undergraduate-level quantum mechanics require extensive mathematical preparation, preventing most students from enrolling in a quantum mechanics course until the third year of a physics major. Here we describe an approach to teaching quantum formalism and postulates that can be used with first-year undergraduate students and even high school students. The only pre-requisite is a familiarity with vector dot products. This approach enables students to learn Dirac notation and core postulates of quantum mechanics at a much earlier stage in their academic career, which can help students prepare for careers in quantum science and engineering and advance the Second Quantum Revolution.

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