Pauli exclusion principle | Probabilistic arguments
In quantum mechanics, identical particles (also called indistinguishable or indiscernible particles) are particles that cannot be distinguished from one another, even in principle. Species of identical particles include, but are not limited to, elementary particles (such as electrons), composite subatomic particles (such as atomic nuclei), as well as atoms and molecules. Quasiparticles also behave in this way. Although all known indistinguishable particles only exist at the quantum scale, there is no exhaustive list of all possible sorts of particles nor a clear-cut limit of applicability, as explored in quantum statistics. There are two main categories of identical particles: bosons, which can share quantum states, and fermions, which cannot (as described by the Pauli exclusion principle). Examples of bosons are photons, gluons, phonons, helium-4 nuclei and all mesons. Examples of fermions are electrons, neutrinos, quarks, protons, neutrons, and helium-3 nuclei. The fact that particles can be identical has important consequences in statistical mechanics, where calculations rely on probabilistic arguments, which are sensitive to whether or not the objects being studied are identical. As a result, identical particles exhibit markedly different statistical behaviour from distinguishable particles. For example, the indistinguishability of particles has been proposed as a solution to Gibbs' mixing paradox. (Wikipedia).
This video introduces similarity and explains how to determine if two figures are similar or not. http://mathispower4u.com
From playlist Number Sense - Decimals, Percents, and Ratios
You’ve heard about similar triangles, but do you know what technically makes two triangles similar? Informally, we can say that two triangles are similar if their associated angles are congruent. In other words, their angle measures have to be the same. However, the triangles don’t necess
From playlist Popular Questions
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Solving two triangles are similar using SSS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
What is the similarity of triangles for SSS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Showing two triangles are similar using SAS
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Given two similar triangles determine the values of x and y for the angles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Geometry - How to show two triangles are similar using AA with parallel sides
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
L22.4 Identical particles and exchange degeneracy
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L22.4 Identical particles and exchange degeneracy License: Creative Commo
From playlist MIT 8.06 Quantum Physics III, Spring 2018
Quantum Physics: BOSONS and FERMIONS Explained for Beginners
Here's how Quantum Physics predicts the existence of Bosons and Fermions - but we also discuss what those words even mean! Hey everyone! I'm back with a new video, filmed a few weeks before we hit 50k subscribers! Thanks so much for all your support. In this video, I wanted to talk to you
From playlist Quantum Physics by Parth G
L19.1 Elastic scattering defined and assumptions
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L19.1 Elastic scattering defined and assumptions License: Creative Common
From playlist MIT 8.06 Quantum Physics III, Spring 2018
Determining the missing values of two similar triangles
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
L23.1 Permutation operators and projectors for two particles
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L23.1 Permutation operators and projectors for two particles License: Cre
From playlist MIT 8.06 Quantum Physics III, Spring 2018
Quantum computing with noninteracting particles - Alex Arkhipov
Alex Arkhipov Massachusetts Institute of Technology February 9, 2015 We introduce an abstract model of computation corresponding to an experiment in which identical, non-interacting bosons are sent through a non-adaptive linear circuit before being measured. We show that despite the very
From playlist Mathematics
Calogero Particles and Fluids: A Review (Lecture 1) by Alexios Polychronakos
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
What causes the Pauli Exclusion Principle?
Explains exchange forces between identical particles and the origin of the Pauli Exclusion Principle. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Some inter-relations between random matrix ensembles - Peter Forrester
Peter Forrester University of Melbourne October 16, 2013 In the early 1960's Dyson and Mehta found that the CSE relates to the COE. I'll discuss generalizations as well as other settings in random matrix theory in which β relates to 4/β. For more videos, visit http://video.ias.edu
From playlist Mathematics
What's the Difference Between Fermions and Bosons?
Often, when physicists talk about particles, they classify them in two fundamentally different classes: fermions and bosons. But, outside of name, what's the difference between these? How different can particles really be? As it turns out, the answer to this question comes from how the wa
From playlist Quantum Mechanics
Using Similarity and proportions to find the missing values
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Advanced Quantum Mechanics Lecture 5
(October 21, 2013) Leonard Susskind introduces the spin statistics of Fermions and Bosons, and shows that a single complete rotation of a Fermion is not an identity operation, but rather induces a phase change that is detectable. Originally presented by the Stanford Continuing Studies Pro
From playlist Lecture Collection | Advanced Quantum Mechanics