LOG#187. Hypothetical particles: the list.

Fast post! List of particles not yet confirmed or completely confirmed to exist: Preons. (“boojums” and “snarks”?) Pre-preons. Prequars. Rishons. Superbradyons. Elvisebrions. Erebons. Darkons. . . -bosons, -particles. -bosons, -particles. Luxons (beyond the gluon, photon, graviton). Planckons. Maximons (and minimons!). … Continue reading

LOG#186. Polylogarithmic condensates.

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

LOG#165. Rogers-Ramanujan identities.

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

LOG#164. Theta functions.

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

LOG#163. Q-stuff and wonderful functions.

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