2004/05/21 by Arun Kumar Pati, A. K. Pati, Pati, A. K. +2
Chemistry · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Graph theory and applications #History and advancements in chemistry #Quantum Physics (quant-ph) #Synthesis and Properties of Aromatic Compounds #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0405129
Latex, 4 + pages, No figures, Resolution of the MS inconsistency given inquant-ph/0404022 and much more, This version now expanded to 6 pages
openalex publication_date 2004/05/21 · arxiv created 2005/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The adiabatic theorem states that if we prepare a quantum system in one of the instantaneous eigenstates then the quantum number is an adiabatic invariant and the state at a later time is equivalent to the instantaneous eigenstate at that time apart from phase factors. Recently, Marzlin and Sanders have pointed out that this could lead to apparent violation of unitarity. We resolve the Marzlin-Sanders inconsistency within the quantum adiabatic theorem. Yet, our resolution points to another inconsistency, namely, that the cyclic as well as non-cyclic adiabatic Berry phases may vanish under strict adiabatic condition. We resolve this inconsistency and develop an unitary operator decomposition method to argue for the validity of the adiabatic approximation.