Author Archives: anuj - Page 5
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…
Gamow’s Calculation of Alpha Decay – WKB Method
Alpha Decay Explained via Gamow and the WKB Method Alpha decay, the emission of a helium nucleus (\( \alpha \)-particle) from a heavy nucleus, was initially mysterious because classically…
Symmetries in Entangled States
Symmetries in Entangled States under Bohm's Quantum Potential (FTL Assumption) Assuming faster-than-light (FTL) communication is possible via Bohm's Quantum Potential, you're entering a non-local hidden variable interpretation of quantum mechanics.…
Alpha Particles – The Original Super Colliders
Alpha Particles: Nature’s Bullets and the Dawn of Particle Physics When we think of particle physics today, we picture massive colliders like CERN’s Large Hadron Collider hurling protons at each…
Two particle wavefuction = 6 spatial dimensions
Why a Two-Particle Wavefunction Lives in Six Dimensions — and How That Gives Us Entanglement Ask a beginning student of quantum mechanics where a particle “is,” and they will…
Why are there Gravitational Quadrupoles?
Why Are There Gravitational Quadrupoles? 1. No Monopole Radiation A gravitational monopole would require changes in the total mass of a system. However, total mass is conserved in isolated systems,…
Gravitational Monopoles and Dipoles
Why There Are No Gravitational Monopoles or Dipoles Why Are There No Gravitational Monopoles? Gravitational monopole would mean a single, isolated “negative mass” (similar to a negative electric charge), which…
Worked examples Kac Algebras, Lie Groups, Lie Algebras
1️⃣ Lie Group → Lie Algebra: Example with \( \mathrm{SO}(3) \) Step 1: Define the Lie group \( \mathrm{SO}(3) \) = Special Orthogonal Group in 3D Set of all \(…
Lie Group Algebras
Overview Lie groups and Lie algebras are two deeply connected mathematical structures used to study symmetries in mathematics and physics. They are foundational in areas such as particle physics,…