Archives for September, 2024
Lebesgue Integral Solved Problems
Lebesgue Integral Solved Problems Problem 1: Simple Example of a Lebesgue Integral Problem: Compute the Lebesgue integral of the function f(x) = 2 over the interval using the Lebesgue measure.…
The Separability Problem in Quantum Mechanics for Mixed States
Separability Problem in Quantum Mechanics for Mixed States The **separability problem** in quantum mechanics refers to the task of determining whether a given **mixed quantum state** is **separable** or **entangled**.…
Hawking Radiation, How black holes evaporate
Stephen Hawking's seminal paper on black hole radiation, often referred to as **Hawking Radiation**, explains how black holes, previously thought to only absorb matter and energy, can actually emit radiation…
Bell’s Paper – Section 4 – The Proof
### Section IV: Contradiction (Detailed Explanation) In Section IV, Bell presents the formal proof of why a hidden variable theory cannot reproduce the quantum mechanical predictions for certain measurements on…
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…
Statistical Mechanics of the early Universe
The early expanding universe, especially in the context of the **Big Bang** and the subsequent evolution, can be described through the framework of **statistical mechanics**. This involves the application of…
Introduce Scattering in Bohm’s EPR Experiment
Introduction In the context of Bohm's version of the EPR (Einstein-Podolsky-Rosen) experiment, two entangled electrons are prepared in a singlet state, meaning their total spin is zero. When these electrons…
Some facts and consequences of the binding energy curve
The binding energy curve is a graph that shows the binding energy per nucleon as a function of the mass number (A) of atomic nuclei. This curve has significant implications…