Author Archives: anuj
Product States in Quantum Mechanics
Also read - Creating Operators and Eigenvectors What are Product States? Product States are states of entangled particles - or particles that have interacted in some manner (some energy exchange).…
Feynman, David Deustch and Quantum Computing (The Universal Quantum Computer)
Quantum System Evolution and Feynman Trying to simulate a Quantum System on a classical Turing Machine is not possible (see Feynman's Papers below). Enter David Deustch Deutsch proposed the first…
Roger Penrose and the Big Bang Theory
The big bang would have required a very low entropy state. While most physicists just take such an initial state for granted, Penrose argues that such 'improbable' states don't just…
Photons emitted at different energies
Some basics Frequency is related to the energy of the photon. Higher frequency photons have higher energy and vice versa. Low energy photons (such as radio photons) behave more like…
Wavefunction as a statistical ensemble of classical systems
We are used to the assumption that a wavefunction (in a sense) represents a classical ensemble of systems. This assumption, though helpful for certain scenarios ( simple hydrogen atom wave…
What exactly were de Broglie’s matter waves?
Also read - Careful when applying E = hv - de Broglie's matter wave energy relation De Broglie actually proposed that ALL matter was essentially waves (of what material -…
E=hv – careful when applying to material particles
DeBroglie taught us that not just photons, but all particles have an energy proportional to their wave like characteristic. For electrons and other material particles, this begs the question -…
Explain Unitary representations of the lorentz group – ChatGPT
In physics, the Lorentz group is the group of all Lorentz transformations, which preserve the spacetime interval between any two events in Minkowski spacetime. A unitary representation of the Lorentz…
Particle Accelerators and deBroglie
deBroglie taught us that particle wavelengths are inversely proportional to their momentum. To probe smaller and smaller particles, requires smaller and smaller wavelengths. Which means, higher and higher momenta. Which…
Feynman’s Sum over paths approach – some tidbits
Feynman asked the simple question - if you cannot add probabilities - like in the classical case, what CAN you add to get a complete picture? It was obviously going…