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PH 425: Paradigms in Physics: Quantum Fundamentals meets 7 hours per week (MWF for 1 hour, TR for 2 hours) for five weeks for a total of 3 credits.
Prereq: PH 213
Coreq: MTH 341
|Liz Gire||She/Her||Th 10-11 am in Wng 304F or Wngr 499
+ open door + by appt.
|Corinne Manogue (Math Bits)||She/Her||Th 10-11 am in Wng 304F or Wngr 491
+ open door + by appt.
|Maggie Greenwood (TA)||She/Her/They/Them||W 4-5 & F 2-3
|Acacia Patterson (LA)||She/Her||WF 3-4
|Dustin Treece (LA)||He/Him||T 4-6
Wngr 383 (Event Horizon)
The “Quantum Fundamentals” course is built upon the quantum mechanical two state system. The first of the Quantum Paradigms, this course introduces students to quantum mechanics by beginning with the postulates of quantum mechanics and how the postulates are used to gather information about quantum mechanical systems. The common spin-up and spin-down state vectors with x,y, and z-orientation will be derived, and the general state vector |ψ(θ,ϕ)⟩ will also be introduced. Throughout the class, students perform several simulated experiments with virtual Stern-Gerlach devices and interpret their results. Operators that correspond to physical observables in quantum experimentation are then presented; students will learn in particular about spin operators, projection operators, the density operator, and the Hamiltonian. Important physical relations among these quantum operators will also be made using the commutators, uncertainty relations, and expectation values. Spin 1 systems are also introduced as an additional context for exploring and interpreting Stern-Gerlach experiments. The time evolution of quantum states using the Schrodinger Equation will also be explored to investigate time dependence in probabilities, uncertainties, and expectation values. The course ends with and introduction to wavefunctions and solving the Schrödinger Equation for one-dimensional potentials.
Students shall be able to:
Additional Information about Homework
Students will be expected to abide by all university rules regarding student conduct and academic honesty, in particular, see: https://beav.es/codeofconduct
Science is inherently a social and collaborative effort, each scientist building on the work of others. Nevertheless, each student must ultimately be responsible for his or her own education. Therefore, you will be expected to abide by a number of Ground Rules:
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