In physics, the Majorana equation is a relativistic wave equation. It is named after the Italian physicist Ettore Majorana, who proposed it in 1937 as a means of describing fermions that are their own antiparticle. Particles corresponding to this equation are termed Majorana particles, although that term now has a more expansive meaning, referring to any (possibly non-relativistic) fermionic particle that is its own anti-particle (and is therefore electrically neutral). There have been proposals that massive neutrinos are described by Majorana particles; there are various extensions to the Standard Model that enable this. The article on Majorana particles presents status for the experimental searches, including details about neutrinos. This article focuses primarily on the mathematical development of the theory, with attention to its discrete and continuous symmetries. The discrete symmetries are charge conjugation, parity transformation and time reversal; the continuous symmetry is Lorentz invariance. Charge conjugation plays an outsize role, as it is the key symmetry that allows the Majorana particles to be described as electrically neutral. A particularly remarkable aspect is that electrical neutrality allows several global phases to be freely chosen, one each for the left and right chiral fields. This implies that, without explicit constraints on these phases, the Majorana fields are naturally CP violating. Another aspect of electric neutrality is that the left and right chiral fields can be given distinct masses. That is, electric charge is a Lorentz invariant, and also a constant of motion; whereas chirality is a Lorentz invariant, but is not a constant of motion for massive fields. Electrically neutral fields are thus less constrained than charged fields. Under charge conjugation, the two free global phases appear in the mass terms (as they are Lorentz invariant), and so the Majorana mass is described by a complex matrix, rather than a single number. In short, the discrete symmetries of the Majorana equation are considerably more complicated than those for the Dirac equation, where the electrical charge symmetry constrains and removes these freedoms. (Wikipedia).
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Overview of Linear equations - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Solve a multi step equation with variables on the same side ex 15, 4(3y–1)–5y=–11
👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
When do you know if a relations is in linear standard form
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Learn how to solve a multi step equation with multiple fractions
👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
How do we discover MAJORANA PARTICLES in NANOWIRES?
Majorana particles are real solutions of the Dirac equation, representing their own antiparticles. In the condensed matter context, Majorana refers to electronic modes in nanostructures described by peculiar ‘pulled-apart’ wavefunctions and by hypothesized non-Abelian exchange. This last
From playlist Sergey Frolov's talks
Solving an equation with parenthesis ex5, 8n–(2n–3)=12
👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Superconductors and semiconductors, nanowires and majorana, research and integrity
Sergey Frolov, University of Pittsburgh This talk will be on three topics, but in a way it is one. My research focus and passion is the proximity effect. It is when superconducting correlations are induced in a non-superconducting material. Because superconductivity is always tied to a sp
From playlist Sergey Frolov's talks
Advances in Graphene, Majorana Fermions, Quantum Computation ( 2 ) - Sankar Das Sarma
Speaker : Sankar Das Sarma (Univeristy of Maryland, USA) Date and Time : 19 Dec 2012, 04:30 PM Venue : Auditorium, New Physical Sciences Building, IISc These lectures will cover three modern topics in physics: graphene, quantum computation, and Majorana fermions. Graphene is a two-dimens
From playlist Advances in Graphene, Majorana fermions, Quantum computation
Advances in Graphene, Majorana Fermions, Quantum Computation ( 3 ) - Sankar Das Sarma
Speaker : Sankar Das Sarma (Univeristy of Maryland, USA) Date and Time : 19 Dec 2012, 04:30 PM Venue : Auditorium, New Physical Sciences Building, IISc These lectures will cover three modern topics in physics: graphene, quantum computation, and Majorana fermions. Graphene is a two-dimens
From playlist Advances in Graphene, Majorana fermions, Quantum computation
Advances in Graphene, Majorana Fermions, Quantum Computation ( 1 ) - Sankar Das Sarma
Speaker : Sankar Das Sarma (Univeristy of Maryland, USA) Date and Time : 19 Dec 2012, 04:30 PM Venue : Auditorium, New Physical Sciences Building, IISc These lectures will cover three modern topics in physics: graphene, quantum computation, and Majorana fermions. Graphene is a two-dimens
From playlist Advances in Graphene, Majorana fermions, Quantum computation
Determining if equations are linear - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Correlation between dissipation & out of equilibrium noise in low dimensional mesoscopic
DISCUSSION MEETING : ADVANCES IN GRAPHENE, MAJORANA FERMIONS, QUANTUM COMPUTATION DATES Wednesday 19 Dec, 2012 - Friday 21 Dec, 2012 VENUE Auditorium, New Physical Sciences Building, IISc Quantum computation is one of the most fundamental and important research topics today, from both th
From playlist Advances in Graphene, Majorana fermions, Quantum computation
Majorana 'Particle' in Condensed Matter Systems by Sankar Das Sarma
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Chiral Lattice Theories from Staggered Fermions by Simon Catterall
PROGRAM Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE) ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Sc
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (Online)
On the Time-Reversal Anomaly of 2+1d TQFTs - Yuji Tachikawa
NatiFest - September 16, 2016 "On the Time-Reversal Anomaly of 2+1d TQFTs" by Yuji Tachikawa www.sns.ias.edu More videos on http://video.ias.edu
From playlist Natural Sciences
QED Prerequisites: The Dirac Equation
In this lesson we give an introduction to the discovery and logic of the Dirac Equation. We introduce the notion of a 4-component spinor field and Dirac Matrices. We do not start developing a solution for this equation, or for the Klein Gordon equation either. There is much more to say abo
From playlist QED- Prerequisite Topics
What is the parent function of a linear graph
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About