{"title":"Random walk of annihilating particles on the ring","authors":"S. Yu. Grigoriev, V. B. Priezzhev","doi":"10.1007/s11232-006-0049-x","DOIUrl":null,"url":null,"abstract":"<p>We obtain the formula for the transition probability of an arbitrary number of annihilating particles wandering along a ring-shaped one-dimensional lattice from the initial coordinates to the final coordinates during an arbitrary number of discrete time steps.</p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"146 3","pages":"411 - 420"},"PeriodicalIF":1.1000,"publicationDate":"2006-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11232-006-0049-x","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11232-006-0049-x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 5
Abstract
We obtain the formula for the transition probability of an arbitrary number of annihilating particles wandering along a ring-shaped one-dimensional lattice from the initial coordinates to the final coordinates during an arbitrary number of discrete time steps.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.