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.
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
About complex numbers Euler’s formula de Moivre’s theorem Roots of complex numbers Triangle inequality Schwarz inequality Functions of complex variables Limits and continuity Analyticity and Cauchy-Riemann conditions Harmonic function Examples of analytic functions ... Read more 21 Mar 2023 - less than 1 minute read