4 problems

The adiabatic theorem concerns a slowly evolving quantum system whose initial state is an instantaneous eigenstate of a time-dependent, non-degenerate Hamiltonian; the state is exp…

The standard-path insufficiency conjecture. The standard adiabatic path condition alone is insufficient to ensure the generalized area law.

Gell-Mann–Low conjecture. The limit exists and is an eigenstate of $H$. The normalization removes the potentially divergent contribution from the reference state in the adiabatic l…

Let a quantum system have a degenerate initial state, and let an initial state be called properly chosen when it is selected so that the relevant Gell-Mann–Low wavefunction and ene…