Fast post! List of particles not yet confirmed or completely confirmed to exist: Preons. (“boojums” and “snarks”?) Pre-preons. Prequarks. Rishons. Subquarks. Haplons. Hexads/Hexons (and trons?). Bradyons (tardyons, ittyons). Superbradyons. Elvisebrions. Erebons. Darkons. . . -bosons, -particles. -bosons, -particles. Luxons (beyond … Continue reading
Today, I return to my best friends. The polylogs! Are you ready for polylog wars? The polylogarithm can be represented by the next integral: (1) As you know, if you follow my blog, you have … Continue reading
There are some cool identities, very well known to mathematicians and some theoretical physicists or chemists, related with Ramanujan. They are commonly referred as Rogers-Ramanujan identities (Rogers, 1894; Ramanujan 1913,1917 and Rogers and Ramanujan, 1919). They are related to some … Continue reading
Hi, there! We are going to explore more mathematical objects in this post. Today, the objects to study are theta functions. A prototype is the Jacobi theta function: (1) where and . It satisfies the functional equation (2) … Continue reading
In this blog post I am going to define and talk about some interesting objects. They are commonly referred as q-objects in general. The q-Pochhammer symbol is the next product: (1) with . The infinite product extension is also … Continue reading