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pro vyhledávání: '"Joseph, Amal"'
The occurrence of abrupt dynamical transitions in the macroscopic state of a system has received growing attention. We present experimental evidence for abrupt transition via explosive synchronization in a real-world complex system, namely a turbulen
Externí odkaz:
http://arxiv.org/abs/2309.08065
Autor:
Nathan, Joseph Amal
Publikováno v:
Mathematics Newsletter, Vol.31 #1, March-June (2020) 26-30
We use the classical definitions (i) $\pi$ is the ratio of area to the square of the radius of a circle; (ii) $\pi$ is the ratio of circumference to the diameter of a circle, to prove $\pi$'s existence within the purview of Euclidean geometry. Next w
Externí odkaz:
http://arxiv.org/abs/2104.09788
Autor:
Ahmed, Zafar, Joseph, Amal Nathan
If a particle has to fall first vertically 1 m from A and then move horizontally 1 m to B, it takes a time $t(=\tau_1+\tau_2=\tau_3=3/\sqrt{2g})=0.67$ s. Under gravity and without friction, if it sides down on a linear track inclined at $45^0$ betwee
Externí odkaz:
http://arxiv.org/abs/2010.15514
Publikováno v:
Eur. J. Phys. 41 (2020) 019401
The surprising divergence of the expectation value $<\!p^6\!>$ for the square well potential is known. Here, we prove and demonstrate the divergence of $<\!p^6\!>$ in potential wells which have a finite jump discontinuity; apart from the square-well
Externí odkaz:
http://arxiv.org/abs/1803.01597
Position and momentum representations of a wavefunction $\psi(x)$ and $\phi(p)$, respectively are physically equivalent yet mathematically in a given case one may be easier or more transparent than the other. This disparity may be so much so that one
Externí odkaz:
http://arxiv.org/abs/1801.04730
Autor:
Jacob, Jeby, Joseph, Amal, Nair, Harikumar R, Prasad, Geevarghese Prajob, Kumar, Vijosh V, Padmakumari, Lekshmi Thattamuriyil
Publikováno v:
JGH Open; Aug2024, Vol. 8 Issue 8, p1-6, 6p
Akademický článek
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Publikováno v:
Springer Proceedings in Physics 184, 1 (2016)
We investigate the parametric evolution of the real discrete spectrum of several complex PT symmetric scattering potentials of the type $V(x)=-V_1 F_e(x) + i V_2 F_o(x), V_1>0, F_e(x)>0$ by varying $V_2$ slowly. Here $e,o$ stand for even and odd pari
Externí odkaz:
http://arxiv.org/abs/1510.06226
Publikováno v:
Phys. Lett. A 379 (2015) 2424
So far, the well known two branches of real discrete spectrum of complex PT-symmetric Scarf II potential are kept isolated. Here, we suggest that these two need to be brought together as doublets: $E^n_{\pm}(\lambda)$ with $n=0,1,2...$. Then if stren
Externí odkaz:
http://arxiv.org/abs/1503.02426
Publikováno v:
Phys. Lett. A 379 (2015) 1639
We propose a new solvable one-dimensional complex PT-symmetric potential as $V(x)= ig~ \mbox{sgn}(x)~ |1-\exp(2|x|/a)|$ and study the spectrum of $H=-d^2/dx^2+V(x)$. For smaller values of $a,g <1$, there is a finite number of real discrete eigenvalue
Externí odkaz:
http://arxiv.org/abs/1502.04838