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quant-ph2026
Quantizing the guiding center: do quantization and coarse graining commute?
Rodrigo Andrade e Silva, Ted Jacobson
We develop a nonperturbative, group-theoretic quantization of the effective guiding center theory of a charged particle drifting in a magnetic field in two spatial dimensions, and…
quant-ph2024
Quantum bungee jumping
Rodrigo Andrade e Silva
We show how a potential that is well-defined everywhere on the positive half-line, but diverges to as , may still be able to dynamically confine a parti…
quant-ph2020
Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
Rodrigo Andrade e Silva, Ted Jacobson
The problem of quantizing a particle on a 2-sphere has been treated by numerous approaches, including Isham's global method based on unitary representations of a symplectic symmetr…