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Quantum Mechanics (1)

Course Description: Review of some basic experiments in modern physics, limits of classical physics and the need for quantum mechanics, wave packets and indeterminacy principle, Schrödinger equation for a free particle, continuity relation, representation of dynamical variables and calculation of expected values, Schrödinger equation for a particle under a potential in one dimension, representation of dynamical variables and calculation of expected values In momentum space, commutative relations, Hermitian effects, linear effects, cosine theory and orthogonal relations, Schrödinger's equation in three dimensions, basic postulates in quantum mechanics, particle in an infinite well, spectral expansion theory, symmetry, constants of motion and conservation laws, characteristic functions of momentum and free particle, potentials in one dimension: (threshold potential, infinite well potential at dispersion and correlation, barrier potential, delta potential at dispersion and correlation), simple harmonic motion, characteristic equation for simple harmonic motion, step effects and representation of dynamical variables, Schrödinger's equation in three dimensions in Cartesian axis system, Schrödinger's equation in three dimensions in bending axis system, angular momentum and its characteristic functions, addition of angular moments, central potentials.
Credit hours: 3
Prerequisites: PHYS 350
Objectives of the course :

Give the student basic concepts in single-particle quantum mechanics, including the meanings of probability amplitude and interference, and an introduction to their fundamental mathematical description.

Course outputs :

Upon completion of the course, students will be able to:
Solving the Schrödinger equation, especially and characteristic equations in general, for a single particle in one and three dimensions.
2. Providing physical interpretations and meanings for mathematical equations and results (interpreting the meanings of operators, the wave function, representing states using multiple bases, and Heisenberg's uncertainty relation for quantum phenomena).
3- Understanding the meaning of interference resulting from the summation of probability amplitudes and its impact on the interactions of microscopic systems.

Additional information:
  • Last updated: 2026-04-19

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