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Physical Math Course

Physical Math Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

The Physical Math Course gives you focused, practical tools to handle Gaussian integrals, analytic continuation, and operator algebra with ladder operators. You will work with dimensionless Schrödinger equations, normal ordering of x⁴, and non-degenerate perturbation theory, then assess series expansions and asymptotic behavior to judge when first-order corrections are reliable in real calculations.

Elevify advantages

Develop skills

  • Master Gaussian integrals: compute oscillator norms with complex parameters.
  • Use ladder operators: build eigenstates and evaluate x, p, and number operator.
  • Normal-order x^4: streamline vacuum and excited-state expectation values.
  • Apply perturbation theory: get first-order energy shifts for anharmonic oscillators.
  • Rescale Schrödinger equations: set up dimensionless, numerically stable models.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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