207 citations · 827 across the 40 of their papers we have counts for
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math-ph1998
An Adiabatic Theorem without a Gap Condition
J. E. Avron, A. Elgart
The basic adiabatic theorems of classical and quantum mechanics are over-viewed and an adiabatic theorem in quantum mechanics without a gap condition is described.
math-ph1998★ 207 cited
Adiabatic Theorem without a Gap Condition
J. E. Avron, A. Elgart
We prove the adiabatic theorem for quantum evolution without the traditional gap condition. All that this adiabatic theorem needs is a (piecewise) twice differentiable finite dimen…
math.FA1998★ 49 cited
An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field
J. E. Avron, A. Elgart
We prove an adiabatic theorem for the ground state of the Dicke model in a slowly rotating magnetic field and show that for weak electron-photon coupling, the adiabatic time scale…