Chapter 7 Further Reading

Primary Textbook References

Chapter 2.4–2.5: Free particle wave packets and group velocity. Griffiths' treatment of the free particle is particularly lucid and includes a careful discussion of the normalization subtleties of plane waves. His "rigorously, this integral is zero" footnotes are a model of honest pedagogy.
Chapter 3.5–3.6: The generalized statistical interpretation and the time-evolution operator. Griffiths introduces $\hat{U}(t)$ in the context of the generalized formalism, connecting it to the energy eigenbasis expansion.
Chapter 6.1: Time-independent perturbation theory assumes the machinery of this chapter. Read after completing Ch 7 for forward context.

Chapter 2.1–2.3: Time evolution and the Schrödinger equation. Sakurai's treatment is the gold standard for the time-evolution operator, starting from the postulates. His comparison of the three pictures (Schrödinger, Heisenberg, interaction) in Section 2.2 is required reading.
Chapter 2.3: Ehrenfest's theorem is derived with characteristic elegance. Sakurai emphasizes the Poisson bracket $\to$ commutator correspondence.
Chapter 5.5: Rabi oscillations in the context of time-dependent perturbation theory. Sakurai treats the two-level system as the paradigmatic example of time-dependent quantum mechanics.

Chapter 4: The propagator and the Schrödinger/Heisenberg pictures. Shankar's path-integral-flavored approach offers a different perspective on time evolution. His treatment of the free-particle propagator is particularly illuminating.
Chapter 6.4: The free particle and wave packet spreading, with an unusually careful treatment of the Fourier transform approach.

Merzbacher, Quantum Mechanics (3rd ed., 1998), Chapter 14: A thorough treatment of the time-evolution operator, including time-dependent Hamiltonians and the Dyson series. More mathematically rigorous than Griffiths.
Cohen-Tannoudji, Diu, & Laloe, Quantum Mechanics (1977), Volume I, Chapter III: The French school's treatment of the postulates includes a particularly clear discussion of the time-evolution postulate and its consequences. The "complements" sections contain excellent worked problems.

Robinett, R. W., "Quantum wave packet revivals," Physics Reports 392, 1–119 (2004): The definitive review article on quantum revivals. Covers the theory of full and fractional revivals, experimental observations in Rydberg atoms and other systems, and connections to number theory. Accessible to advanced undergraduates.
Aronstein, D. L. & Stroud, C. R., "Fractional wave-function revivals in the infinite square well," Physical Review A 55, 4526 (1997): The key paper connecting fractional revivals to Gauss sums. Mathematical but rewarding.
Parker, J. & Stroud, C. R., "Coherence and decay of Rydberg wave packets," Physical Review Letters 56, 716 (1986): The original theoretical prediction of revivals in Rydberg atoms.

Allen, L. & Eberly, J. H., Optical Resonance and Two-Level Atoms (Dover, 1987): The classic monograph on the two-level atom problem. Covers the Bloch equations, rotating wave approximation, and coherent transient effects in depth. Originally published in 1975; still the best reference for the semiclassical treatment.
Rabi, I. I., et al., "A New Method of Measuring Nuclear Magnetic Moment," Physical Review 53, 318 (1938): The original paper. Remarkably readable — Rabi's clear exposition makes the physics accessible even eight decades later.
Ramsey, N. F., "A Molecular Beam Resonance Method with Separated Oscillating Fields," Physical Review 78, 695 (1950): The paper that introduced Ramsey interferometry, now the basis of all atomic clocks.

Dirac, P. A. M., The Principles of Quantum Mechanics (4th ed., 1958), Chapter V: Dirac's original presentation of the "transformation theory" that unifies the Schrödinger and Heisenberg pictures. Dense but brilliant — every physics student should attempt to read at least parts of this book.

Ballentine, L. E., Quantum Mechanics: A Modern Development (2nd ed., 2014), Chapter 14: An unusually careful treatment of the classical limit, including a discussion of when and why Ehrenfest's theorem is not sufficient to establish the classical limit (the corrections can grow with time for chaotic systems).
Ehrenfest, P., "Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik," Zeitschrift für Physik 45, 455 (1927): The original paper, in German. Short and elegant.

Jammer, M., The Conceptual Development of Quantum Mechanics (2nd ed., 1989): Chapter 5 covers the equivalence of wave mechanics and matrix mechanics — the historical context for why the Schrödinger and Heisenberg pictures exist as separate formulations.
Pais, A., Inward Bound: Of Matter and Forces in the Physical World (1986): A masterful history of 20th-century physics. The chapters on Heisenberg's matrix mechanics (1925) and Schrödinger's wave mechanics (1926) provide essential historical context for this chapter.

Johansson, J. R., Nation, P. D., & Nori, F., "QuTiP: An open-source Python framework for the dynamics of open quantum systems," Computer Physics Communications 183, 1760 (2012): The QuTiP library used in this book's code examples. The documentation includes tutorials on Rabi oscillations and time evolution.
Steck, D. A., Quantum and Atom Optics (free online textbook, 2007–present, available at steck.us/teaching): Excellent free resource covering the two-level atom, Bloch sphere, and optical Bloch equations with modern notation and detailed derivations.

Berry, M. V., "Quantum fractals in boxes," Journal of Physics A 29, 6617 (1996): Berry connects quantum revivals and fractional revivals to the theory of fractals, showing that the wave function at irrational fractions of the revival time has a fractal structure. A stunning paper at the intersection of physics and mathematics.
Zurek, W. H., "Sub-Planck structure in phase space and its relevance for quantum decoherence," Nature 412, 712 (2001): Shows that time-evolved quantum states can develop structure in phase space on scales smaller than $\hbar$, with implications for the sensitivity of quantum interference to perturbations.