What is the result of Fourier transformation of functional theta function?

jarowit
Messages
4
Reaction score
0
what is the result of Fourier transformation of functional theta [Heaviside] function?
 
Physics news on Phys.org
Is it not the case -

\int_{-\infty}^\infty}\theta (a)e^{ikx}dx = \int_{a}^{\infty}e^{ikx}dx
 
Last edited:
what you have written is Fourier transforamtion of the "usual" theta function.
i would like to know how to transform theta function which in arguments have other function s [i.e. functional theta function].
 
True. Did you know there is a math area in the PF ? Just scroll the main page down.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

Similar threads

Back
Top