Mathematics & Engineering
Intermediate

Quantum Mechanics I (University)

Students will achieve mastery of the non-relativistic Schrodinger equation and its applications to fundamental physical systems using both wave mechanics and Di

Quantum Mechanics I (University). This course is designed for upper-level undergraduate physics students or early-stage graduate students with a strong foundation in linear algebra and multivariable calculus. Students will achieve mastery of the non-relativistic Schrodinger equation and its applications to fundamental physical systems using both wave mechanics and Dirac notation. This course is independent preparation and is not affiliated with or endorsed by the independent university-level study (not affiliated with any university); check the official site for current test formats and dates. Every lesson includes tutor notes, a practical lab, worked exercises and a 12-question quiz you must pass at 80%, followed by a pooled final exam and free and paid practice tests.

150h Certificate available

Curriculum

One complete track with its own final exam and certificate.

10 modules mapped to the official examination areas, from foundations to final mocks.

Course Foundations and Mathematical Prerequisites. Practice activity: Derive the generalized Cauchy-Schwarz inequality for arbitrary vectors in a Hilbert space..

  • 1.1 Mathematical Overview: Linear Spaces and Hilbert Space Lab90 min
  • 1.2 Complex Analysis Review and Differential Equations in Physics Lab90 min
  • 1.3 Classical Mechanics vs. Quantum Mechanics: The Crisis of 1900 Lab90 min
  • 1.4 Study Plan and Strategic Problem Solving for Quantum Theory Lab90 min
  • 1.5 The Postulates of Quantum Mechanics: An Introduction Lab90 min

Careers this prepares you for

    How you study

    Every lesson pairs an in-depth video with written notes, key takeaways, a hands-on lab, exercises and a quiz. Work at your own pace, then sit the final examination for your Erudex certificate.