I am doing a very amateur version of Tesla's experiment of using potential difference between positively charged sky ( due to solar wind) and negatively charged earth. I took a piece of cardboard. Stapled aluminum foil to it to use as antenna. Stapled stripped end of wire to this foil and hung...
A line is 1-dimensional object. You can imagine a line as part of huge 2-dimensional circle of infinite radius. Likewise a 2-D surface (an infinite plane) is a part of surface of a 3-D sphere of infinite radius. Similarly, an 3-D space is a part of surface of 4-D sphere (only for visualization...
What I am trying to say is this.
All hermitian matrices are symmetric but all symmetric matrices are not hermitian. Eigenvalues of hermitian (real or complex) matrices are always real. But what if the matrix is complex and symmetric but not hermitian. In hermitian the ij element is complex...
Eigen values of a complex symmetric matrix which is NOT a hermitian are not always real. I want to formulate conditions for which eigen values of a complex symmetric matrix (which is not hermitian) are real.
Current follows the path of least resistance or shortest path. I just want to prove this or rather reproduce it using calculus of variations. I just want to show it in a fancy way. I want help to form the FUNCTIONAL for it.
Useful equations:
I=dq/dt=nqvA
R=rho*l/A
Where v is drift velocity...
We all the famous schrodinger's cat experiment and its outcomes which sound stupid in classic or macroscopic world. A similar thought came to my mind for Russian roulette game. Suppose you lock 2 game players in a room with a revolver of single shot and they start playing Russian roulette by...
I want to formulate an approx 2D ripple equation μ(x,y). It should satisfy following:
1) it should have highest amplitude on y axis at x=0. It should be symmetrical about y axis. It should fade away at some x on both positive and negetive x axis symmetrically. Fading in a way of decreasing...
I was going through Linear Algebra which is recommended as a prerequisite to Quantum Mechanics. The topic of LA is vast and deep. So I wanted to know which (specific) topics of LA should be covered as a prerequisite to QM.