Antisymmetric Matrix -- from Wolfram MathWorld

An antisymmetric matrix is a square matrix that satisfies the identity A=-A^(T) (1) where A^(T) is the matrix transpose. For example, A=[0 -1; 1 0] (2) is antisymmetric. Antisymmetric matrices are commonly called "skew symmetric matrices" by mathematicians. A matrix m may be tested to see if it is antisymmetric using the Wolfram Language function AntisymmetricQ[m_List?MatrixQ] := (m ...

Skew-symmetric matrix - Wikipedia

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative, that is, it satisfies the condition: p. 38

Identical particles - Wikipedia

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. ...

Similarity Transformation -- from Wolfram MathWorld

The term "similarity transformation" is used either to refer to a geometric similarity, or to a matrix transformation that results in a similarity. A similarity transformation is a conformal mapping whose transformation matrix A^' can be written in the form A^'=BAB^(-1), (1) where A and A^' are called similar matrices (Golub and Van Loan 1996, p. 311).

Spin classification of particles

Spin Classification. One essential parameter for classification of particles is their "spin" or intrinsic angular momentum.Half-integer spin fermions are constrained by the Pauli exclusion principle whereas integer spin bosons are not. The electron is a fermion with electron spin 1/2.. The spin classification of particles determines the nature of the energy distribution in a collection of the ...

Annals of Physics | ScienceDirect.com

Read the latest articles of Annals of Physics at ScienceDirect.com, Elsevierâ€™s leading platform of peer-reviewed scholarly literature

Molecular vibrations - Simple English Wikipedia, the free ...

Molecular vibrations are one of three different kinds of motion for molecules that include translational motion (when the whole molecule goes in the same direction) and rotational motion (when the molecule spins like a top) . A vibrational motion for a molecule is when the bonds between atoms within a molecule move. Think of the atoms as round balls that are attached by a spring that can ...

Nuclear Physics B | ScienceDirect.com

Read the latest articles of Nuclear Physics B at ScienceDirect.com, Elsevierâ€™s leading platform of peer-reviewed scholarly literature

Helium Energy Levels - HyperPhysics Concepts

Helium Energy Levels The helium ground state consists of two identical 1s electrons. The energy required to remove one of them is the highest ionization energy of any atom in the periodic table: 24.6 electron volts. The energy required to remove the second electron is 54.4 eV, as would be expected by modeling it after the hydrogen energy levels.The He+ ion is just like a hydrogen atom with two ...

Operator Algebras authors/titles recent submissions

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