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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.

    This page titled 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 the style and standards of the LibreTexts platform; a detailed edit history is available upon request.