SUMMARY
The London equation for superconductors can be derived from the principle that the canonical momentum of the ground state is zero. This derivation is supported by references to Kittel's "Quantum Theory of Solids" and the minimal coupling prescription, where momentum is adjusted by the vector potential A. The concept of broken symmetry, as discussed by Weinberg, provides a broader understanding of this phenomenon. The rigidity of the wavefunction, as noted by the Londons, indicates that the expectation of momentum remains unchanged in the presence of an applied transversal field.
PREREQUISITES
- Understanding of superconductivity principles
- Familiarity with Kittel's "Quantum Theory of Solids"
- Knowledge of minimal coupling in quantum mechanics
- Basic grasp of broken symmetry concepts in physics
NEXT STEPS
- Study the derivation of the London equations in detail
- Explore the implications of broken symmetry in superconductors
- Review Kittel's "Quantum Theory of Solids" for insights on superconductivity
- Investigate the concept of wavefunction rigidity in quantum mechanics
USEFUL FOR
Physicists, materials scientists, and students studying superconductivity and quantum mechanics will benefit from this discussion.