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2: Introduction to Time-Dependent Quantum Mechanics

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    • 2.1: Time-Evolution with a Time-Independent Hamiltonian
      The time evolution of the state of a quantum system is described by the time-dependent Schrödinger equation.
    • 2.2: Exponential Operators Again
      Throughout our work, we will make use of exponential operators that act on a wavefunction to move it in time and space. Of particular interest to us is the time-propagator or time-evolution operator that propagates the wavefunction in time.
    • 2.3: Two-Level Systems
      It is common to reduce or map quantum problems onto a two level system (2LS). We will pick the most important states for our problem and find strategies for discarding or simplifying the influence of the remaining degrees of freedom.

    2: Introduction to Time-Dependent Quantum Mechanics is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Andrei Tokmakoff via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.