Hello, this is Saurish Chakrabarty. I am a physicist and teach at Acharya Prafulla Chandra College. Welcome to my webpage. Below are links to some of my recent posts. Some information about me and my teaching and research interests can be found in the links below the header.
The most common system of many fermions is a metal. A metal can be thought of as a gas of electrons and following Sommerfeld’s approach, we will discuss some of the properties of an electron gas. We will focus on the non-interacting Fermi gas, commonly known as the ideal Fermi gas. The value of the chemical potential at $T=0$ is known as the ... Read more 09 Jun 2023 - 2 minute read
A function of a complex variable $f(z)$ is an ordered pair of two real functions, $u(x,y)$ and $v(x,y)$, each of two real variables, $x=$Re $z$ and $y=$Im $z$. Thus, \[f(z)=u(x,y)+iv(x,y)\] Graphical Representation There are two alternative representations for a function of a complex variable. First, we can plot the surfaces $u(x,y)$ and $v(x... Read more 31 May 2023 - less than 1 minute read
A complex number $z$ is an ordered pair of real numbers $(x,y)$ with addition and multiplication defined as follows. For two complex numbers $z_1=(x_1,y_1)$ and $z_2=(x_2,y_2)$, $z_1+z_2\equiv(x_1+x_2,y_1+y_2)$ $z_1z_2\equiv(x_1x_2-y_1y_2,x_1y_2+y_1x_2)$. Real and imaginary numbers correspond to numbers of the form $(x,0)$ and $(0,y)$ respective... Read more 27 Mar 2023 - 4 minute read
Classical gas A classical gas is a system of classical identical particles. Classical identical particles have the following important properties. They are distinguishable, i.e., we can, in principle, follow each particle as the system evolves. Any number of particles can occupy a given single particle state. There is no restriction if tw... Read more 22 Mar 2023 - 10 minute read
The following list contains the topics that I will cover. These are taken from the B.Sc. Physics Honours syllabus (Statistical Mechanics, PHSACOR14T). System of identical particles: Collection of non-interacting identical particles. Classical approach and quantum approach: Distinguishability and indistinguishability. Occupation number and MB... Read more 21 Mar 2023 - less than 1 minute read