In the mathematical field of knot theory, a quantum knot invariant or quantum invariant of a knot or link is a linear sum of colored Jones polynomial...

allow signals to be transmitted),[citation needed] the quantum vacuum state is Lorentz-invariant (although not manifestly in the above), whereas the classical...

appropriate substitutions from HOMFLY. The HOMFLY polynomial is also a quantum invariant. The name HOMFLY combines the initials of its co-discoverers: Jim...

transitions, so that the quantum number is an adiabatic invariant. The old quantum theory was formulated by equating the quantum number of a system with...

a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological invariants. While TQFTs were...

manifold. The GW invariants may be packaged as a homology or cohomology class in an appropriate space, or as the deformed cup product of quantum cohomology...

smooth families of operations (Lie groups). Formally, the Lagrangian is invariant under these transformations. The term "gauge" refers to any specific mathematical...

field of quantum topology, the Reshetikhin–Turaev invariants (RT-invariants) are a family of quantum invariants of framed links. Such invariants of framed...

mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological...

1080/0950034021000011536. Hardy, Lucien (1992). "Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories". Physical Review Letters...

In quantum information science, the concurrence is a state invariant involving qubits. The concurrence is an entanglement monotone (a way of measuring...

physical laws be invariant under Lorentz transformations. Two difficulties remained. Observationally, the Schrödinger equation underlying quantum mechanics could...

at the quantum level and it simultaneously looks for states that are gauge invariant because C ^ I {\displaystyle {\hat {C}}_{I}} is the quantum generator...

Maxim Kontsevich. The Kontsevich invariant is a universal quantum invariant in the sense that any quantum invariant may be recovered by substituting the...

topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type solutions...

in fractional quantum Hall effect states. In mathematics, it has been used to calculate knot invariants and three-manifold invariants such as the Jones...

Permutationally invariant quantum state tomography (PI quantum state tomography) is a method for the partial determination of the state of a quantum system consisting...

can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation...

knot theory, the volume conjecture is an open problem that relates quantum invariants of knots to the hyperbolic geometry of their complements. Let O denote...

The invariant mass, rest mass, intrinsic mass, proper mass, or in the case of bound systems simply mass, is the portion of the total mass of an object...

In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the...

In quantum mechanics, the total angular momentum quantum number parametrises the total angular momentum of a given particle, by combining its orbital...

characteristic length scale. In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength...

S2CID 27676682. Ohtsuki, Quantum Invariants: A Study of Knots, 3-manifolds, and Their Sets Witten, Edward (1989). "Quantum Field Theory and the Jones...

mechanics and quantum field theory. A plethora of knot invariants have been invented since then, utilizing sophisticated tools such as quantum groups and...

dynamics of the quarks and gluons are defined by the quantum chromodynamics Lagrangian. The gauge invariant QCD Lagrangian is L Q C D = ψ ¯ i ( i γ μ ( D μ...

corresponding to the linear phase-invariant amplifier. The uncertainty principle sets the lower bound of quantum noise in an amplifier. In particular...

The invariant set postulate concerns the possible relationship between fractal geometry and quantum mechanics and in particular the hypothesis that the...

In mathematical physics, de Sitter invariant special relativity is the speculative idea that the fundamental symmetry group of spacetime is the indefinite...

In physics, relativistic quantum mechanics (RQM) is any Poincaré-covariant formulation of quantum mechanics (QM). This theory is applicable to massive...