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...

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

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

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...

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...

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

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

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

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

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

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...

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...

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

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...

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...

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

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...

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

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

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

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

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

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...

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

related to quantum entanglement. Topological quantum field theory Reshetikhin–Turaev invariant Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology...

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

Lagrangian setting of quantum field theory (QFT), the Lagrangian L {\displaystyle L} is a functional of quantum fields which is invariant under the action...