Archives for Basic Quantum Theory - Page 2
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…
Many Worlds’ Interpretation – The Universal Wavefunction
Hugh Everett's dissertation, "The Theory of the Universal Wavefunction," presents the foundations of what later became known as the Many-Worlds Interpretation (MWI) of quantum mechanics. Here are the key points…
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 -…
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…
Blackbody Radiation Explained
Longer waves should not fit into the blackbox. This means that there should be FEWER waves of long wavelengths (low frequencies). Hence, most of the energy (as you heat the…
A framework to understand the root of entanglement
First read this - Wave or Particle or Neither? If indeed, a particle is a PROCESS (one in which several pulses combine to appear at a point and then dissolve…
Wave or Particle or Neither?
Wave or Particle? (According to Bohm - neither, but definitely closer to a wave) As per Bohm (from the book Quanta and Reality) - An electron is a thing that…
Blackbody radiation – Superposition Principle in Quantum Mechanics
Superposition of multiple oscillators, not possible in classical mechanics (if the oscillators are independent of each other), is what provides the correct values for the blackbody radiation field. The oscillators…