Historical Magic in Old Quantum Theory
نویسنده
چکیده
Two successes of old quantum theory are particularly notable: Bohr’s prediction of the spectral lines of ionised helium, and Sommerfeld’s prediction of the fine-structure of the hydrogen spectral lines. Many scientific realists would like to be able to explain these successes in terms of the truth or approximate truth of the assumptions which fuelled the relevant derivations. In this paper I argue that this will be difficult for the ionised helium success, and is almost certainly impossible for the fine-structure success. Thus I submit that the case against the realist’s thesis that success is indicative of truth is marginally strengthened.
منابع مشابه
Theory of magic optical traps for Zeeman-insensitive clock transitions in alkali-metal atoms
Precision measurements and quantum-information processing with cold atoms may benefit from trapping atoms with specially engineered, “magic” optical fields. At the magic trapping conditions, the relevant atomic properties remain immune to strong perturbations by the trapping fields. Here we develop a theoretical analysis of magic trapping for especially valuable Zeeman-insensitive clock transit...
متن کاملNew Concepts in Particle Physics from Solution of old Problem
This is a survey on recent progress in the understanding of some profound issues concerning the relation between onand off-shell concepts in local quantum physics. Proofs for special situations have already appeared in previous publications. This present frame build on modular localization is wide enough to cover such disparate looking issues as d=1+1 factorizing theories, holographic images of...
متن کاملCatalysis and activation of magic states in fault tolerant architectures
In many architectures for fault tolerant quantum computing universality is achieved by a combination of Clifford group unitary operators and preparation of suitable nonstabilizer states, the so-called magic states. Universality is possible even for some fairly noisy nonstabilizer states, as distillation can convert many copies into a purer magic state. Here we propose novel protocols that explo...
متن کاملPermutation symmetry and magic numbers of few-electron systems
Based upon the theory of permutation symmetry and rotation transformation, a powerful method is established to analyse the wavefunctions of identical particles . Applying this method to the two dimensional systems of a few interacting electrons confined by parabolic potential, a simple explanation for the origin of magic numbers is presented. PACS: 73.20.Dx, 71.10.+x, 72.15.Rn, 71.45.-d Typeset...
متن کاملBound states for magic state distillation in fault-tolerant quantum computation.
Magic state distillation is an important primitive in fault-tolerant quantum computation. The magic states are pure nonstabilizer states which can be distilled from certain mixed nonstabilizer states via Clifford group operations alone. Because of the Gottesman-Knill theorem, mixtures of Pauli eigenstates are not expected to be magic state distillable, but it has been an open question whether a...
متن کامل