English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For over a decade several workers have argued for the existence of quantumdeviations from the classical, Einstein dilation of the decay evolution ofmoving or Lorentz boosted unstable particles. While the general claim iscorrect, the discussions have been incomplete and, sometimes, misleading. Thediscussions have been of three kinds. Type 1 examines the time dependence ofthe survival probability for 3-momentum eigenstates of the unstable quanton(Khalfin). Type 2 does the same for velocity eigenstates, obtaining anoutrageous result which then discredits velocity eigenstates (Shirokov /Hegerfeldt). Type 3 examines arbitrary boosts of 3-momentum eigenstates(Stefanovich). Type 1 is incomplete since the momentum eigenstates are not theboosts of one another. Type 2 is misleading since the outrageous result is dueto misinterpreting the initial conditions of the velocity eigenstates (as Ihave previously argued). Type 3 is the most satisfactory, but has failed torecognize and implement the unification of all three types of discussion thatcan be achieved. In this paper I will provide that unified treatment, beginningwith a recapitulation of Type 1 and offering further clarification of Type 2 inthe process. The unified treatment fully reinstates velocity eigenstates asessential contributors to unstable quanton states. Besides discussing the timeevolution of survival probabilities I also focus on the concept of lifetimedefined as the average time of decay. This quantity is helpful in order todisplay the inequivalent dependence of dilation on momentum and boosts mostsharply and the deviation from Einstein dilation most cleanly.

On the Quantum Deviations from Einstein Dilation of Unstable Quanton Decay Evolution and Lifetimes