why don't try it for yourself first and then we can fill in the gaps for you?
#3
Gigasoft
59
0
The Schrödinger equation contains one complex valued dependent variable, \Psi, which depends on the time coordinate t and 3N space coordinates, where N is the number of particles. It also contains a set of real valued parameters m_a with a ranging from 1 to N, indicating the mass of each particle in the system, and a real valued parameter V, the system's potential energy, which depends on the same time and space coordinates.
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!
The wavefunction of an atomic orbital like ##p_x##-orbital is generally in the form ##f(\theta)e^{i\phi}## so the probability of the presence of particle is identical at all the directional angles ##\phi##. However, it is dumbbell-shape along the x direction which shows ##\phi##-dependence!