Archives for Basic Quantum Theory - Page 2
Particle in an Infinite 1D Square Well — Momentum Distribution
Momentum Distribution for a Particle in an Infinite 1D Well Also read - Particle in a 1-D infinte well - Energy States Setup Infinite well from \(0\) to \(a\). The…
Wave Packet Velocity Derivation
Group and Phase Velocity of a Localized Wave Packet Group and Phase Velocity for a Localized Wave Packet Build a Wave Packet Consider a superposition of plane waves centered near…
Particle in an Infinite 1D Square Well — Energy States
Energy States of a Particle in an Infinite 1D Square Well Setup Consider a well of width \(a\) with potential \ The time-independent Schrödinger equation (TISE) inside the well is…
Particle in a Box? Momentum and Distance Traveled – 1-Inch box to Atomic Scale Box
How “Stationary” Is a Particle in a Box? Momentum and Travel Distance from 1-Inch to Atomic Scales How “Stationary” Is a Particle in a Box? Momentum and Travel Distance from…
Momentum Space Representation of the 1\r Operator
Momentum Space Representation of the \( \frac{1}{r} \) Operator The operator \( \frac{1}{r}, \quad r = |\mathbf{x}| \) plays a central role in quantum mechanics, especially in Coulomb potentials,…
Estimate the nuclear radius size based on Electrostatic and Magnetic Field Strengths
The Rasetti–Fermi Paradox: Electrostatic vs. Magnetic Radius of the Nucleus The Rasetti–Fermi Paradox (1926–1927): Two “Radius” Estimates That Don’t Match A historical back-of-the-envelope puzzle: estimating a nuclear “radius” from an…
Entangled States and Reference Frames
Relativistic Treatment of Entangled Particles Also read - Boost of a singlet entangled state 1. Lorentz Invariance of Entanglement Entanglement is a property of the quantum state as a…
Quantum Particle in an Accelerating Box
Quantum Particle in an Accelerating Box — Relativistic Treatments Quantum Particle in an Accelerating Box — How to Treat the Problem There isn’t a single “one-size” answer because what you…
Electron Wavefunction After Photon Collision
Electron Wavefunction After a Photon–Electron Collision Short answer: you generally cannot write a single pure-state wavefunction for the electron after the collision unless you condition on the detected outgoing photon.…
Amplitude in an Entangled Wavefunction
Q&A: What Does the Amplitude Represent for an Entangled Wavefunction? Q1. Since wavefunctions are amplitudes, what does the amplitude represent? 1) Wavefunction as an amplitude The wavefunction Ψ…