Archives for Basic Quantum Theory
Finite Abelian Groups and Applications to Quantum Physics
Finite Abelian Groups and Applications to Quantum Physics What Are Finite Abelian Groups? A finite abelian group is a group \( G \) with the following properties: Closure: For any…
Trajectories don’t exist
One of Heisenberg's greatest triumphs was simply eliminating the whole thought process around classical electron trajectories. He claimed that there are only observable quantities - and these quantities can be…
Dipole Approximation in Electron-Photon Interaction
Dipole Approximation for Electron-Photon Interaction The dipole approximation assumes that the wavelength of the electromagnetic field is much larger than the spatial extent of the electron wavefunction. In this case,…
Electron interacts with a photon – Schrodinger equation and it’s solution
Schrödinger Equation for Electron-Photon Interaction The system includes: An electron with wavefunction ψe(r, t), A photon field described by the vector potential A(r, t). The total Hamiltonian includes: The electron's…
Trying to Understand Bell’s EPR Paper
Sections 2 and 3 in the paper - I had some trouble deciphering. ### Section II: Formulation In this section, Bell formulates the Einstein-Podolsky-Rosen (EPR) paradox mathematically. He uses the…
Feynman’s paths and bohm’s paths in quantum theory
A recap of the Article - Bohm and Feynman Path Integrals - author - Marius Oltean, U Waterloo. Feynman's Path Integral Feynman's approach to quantum mechanics involves the concept of…
Quantum vs. Classical States of a Combined System
A classical state doesn't require basis vectors - since it is a simple POINT in phase space. This is true even of combined states in classical physics. In QM, every…
Experimental Measurement of Planck’s Constant
Experimental Measurement of Planck's Constant Apparatus: Light source with known wavelength Photoelectric cell Variable voltage power supply Ammeter and voltmeter Procedure: Illuminate the photoelectric cell with light of a known…
Bohm’s Quantum Potential Approach
Bohm's quantum potential approach, also known as the de Broglie-Bohm interpretation or Bohmian mechanics, is an alternative formulation of quantum mechanics that provides a deterministic framework. Here are the key…
Quantum Strategies in Classical Games – Monty Hall
From the paper - Quantum version of the Monty Hall problem Flitney , D. Abbott Centre for Biomedical Engineering (CBME) and Department of Electrical and Electronic Engineering, Adelaide University, SA…