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Concepts from elementary quantum mechanics can be used to understand vortexline fluctuations in high-temperature superconductors. Flux lines areessentially classical objects, described by a string tension, their mutualrepulsion, and interactions with pinning centers. The classical partitionfunction, however, is isomorphic to the imaginary time path integraldescription of quantum mechanics. This observation is used to determine thethermal renormalization of critical currents, the decoupling field, the fluxlattice melting temperature at low and moderate inductions, and to estimate thedegree of entanglement in dense flux liquids. The consequences of the ``polymerglass'' freezing scenario, which assumes that the kinetic constraints ofentanglement prevent field cooled flux liquids from crystallizing, arereviewed.

Vortex Line Fluctuations in Superconductors from Elementary Quantum Mechanics