PHYS 225 - Quantum Physics

5 CR

Presents an introduction to quantum mechanics and quantum information. Includes topics such as an examination of why quantum mechanics is necessary, an introduction to quantum computing, and a study of how Schrodinger’s equation describes the motions of small particles.

Prerequisite(s): MATH 208 and PHYS 122

Course Outcomes
After completing this course, students should gain knowledge and skills in the three content areas of the fundamental principles of quantum mechanics, quantum information and computing, and the time-dependent behavior of the Schrodinger’s equation.

Unit 1: Fundamental Principles
- Motivate a quantization model for systems on the atomic scale: the Stern-Gerlach experiments
- Differentiate quantum spin from classical spin
- Perform calculations and make predictions about spin
- Explain and work with quantum states and matrix notation
- Reason about quantum systems and ensembles
- Explain and use the mathematical tools of quantum physics: operators, matrices, Eigenvalues, and Eigenvectors
- Calculate expectation values and uncertainty
Unit 2: Quantum Information and Quantum Computing
- Define quantum bits and single-bit gates
- Explain tensor product states and multi-bit gates, and how they function in terms of their simpler components
- Explain the principles behind quantum cryptography
- Explain the principles behind quantum teleportation
- Define entanglement and understand the EPR paradox
Unit 3: Time Dependence and Wavefunctions
- Explain and evaluate time-dependent Hamiltonians
- Explain spin precession, neutrino oscillation, NMR
- Define position space, momentum space, and wavefunctions
- Explain and calculate position space operators and infinite square well
- Define finite square well and general potentials, and be able to solve these cases

GenEd Outcomes: Creative and Critical Thinking

Quantitative/Symbolic Reasoning

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