Archives for Basic Quantum Theory
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…
Why Hilbert Space in Quantum Mechanics?
Heisenberg's matrix mechanics and Schrödinger's wave mechanics - have a common underlying mathematical structure. That common structure is Hilbert space. These two theories are said to be isomorphic. If you…
Entanglement and Symmetry
The paper titled Entanglement—A Higher Order Symmetry" by Paul O’Hara Entanglement Concept: Entanglement is described as a state where the wave function defined over a Hilbert Space is a pure…