Scattering of neutral fermions by a pseudoscalar potential step in
... norm is a constant of motion. This interpretation is completely satisfactory for single-particle states [3]. We use α = σ1 and β = σ3 . For the potential matrix we consider V = 1Vt + βVs + αVe + βγ 5 Vp ...
... norm is a constant of motion. This interpretation is completely satisfactory for single-particle states [3]. We use α = σ1 and β = σ3 . For the potential matrix we consider V = 1Vt + βVs + αVe + βγ 5 Vp ...
Poincaré group
... The origin of this behavior is that the Lorentz group, and in particular its subgroup SO(3), is not simply connected. The projective representations of a group correspond to the representations of its universal covering group: it has the same Lie algebra, which reflects the property of the group clo ...
... The origin of this behavior is that the Lorentz group, and in particular its subgroup SO(3), is not simply connected. The projective representations of a group correspond to the representations of its universal covering group: it has the same Lie algebra, which reflects the property of the group clo ...
“Anticoherent” Spin States via the Majorana Representation
... as nearly as possible to a classical spin vector pointing in a given direction n̂. Coherent spin states are a conceptual attractor for physicists in part because they mimic classical spin angular momentum as much as possible. As useful as this makes the coherent states, in theory and in practice, it ...
... as nearly as possible to a classical spin vector pointing in a given direction n̂. Coherent spin states are a conceptual attractor for physicists in part because they mimic classical spin angular momentum as much as possible. As useful as this makes the coherent states, in theory and in practice, it ...
In order to integrate general relativity with quantum
... masses came from the Lorentz equation for electromagnetic forces and Newton’s law of gravitation for gravitational forces. The forces given by these theories allowed one to predict the time evolution of a dynamical system. One notes the parallel between that space time kinematic infrastructure and t ...
... masses came from the Lorentz equation for electromagnetic forces and Newton’s law of gravitation for gravitational forces. The forces given by these theories allowed one to predict the time evolution of a dynamical system. One notes the parallel between that space time kinematic infrastructure and t ...
2017 Year11 Mathematics Specialist Program
... The nature of proof: 1.3.1 use implication, converse, equivalence, negation, inverse, contrapositive 1.3.2 use proof by contradiction 1.3.3 use the symbols for implication (⇒), equivalence (⟺) 1.3.4 use the quantifiers ‘for all’ and ‘there exists’ 1.3.5 use examples and counter-examples. Geometric v ...
... The nature of proof: 1.3.1 use implication, converse, equivalence, negation, inverse, contrapositive 1.3.2 use proof by contradiction 1.3.3 use the symbols for implication (⇒), equivalence (⟺) 1.3.4 use the quantifiers ‘for all’ and ‘there exists’ 1.3.5 use examples and counter-examples. Geometric v ...
General Mathematical Description of a Quantum System
... corresponding ket vector, and therein lies the difference between bras and kets. It turns out that the difference only matters for Hilbert spaces of infinite dimension, in which case there can arise bra vectors whose corresponding ket vector is of infinite length, i.e. has infinite norm, and hence c ...
... corresponding ket vector, and therein lies the difference between bras and kets. It turns out that the difference only matters for Hilbert spaces of infinite dimension, in which case there can arise bra vectors whose corresponding ket vector is of infinite length, i.e. has infinite norm, and hence c ...
(pdf)
... a universal cover is unique up to a homeomorphism. In linear group (or matrix Lie group), in particular, the only cover of simply-connected group is an isomorphism; thus, the universal covers are isomorphic. This fact, in addition, to the relationship between SU (2) and SO(3) has a well-known, physi ...
... a universal cover is unique up to a homeomorphism. In linear group (or matrix Lie group), in particular, the only cover of simply-connected group is an isomorphism; thus, the universal covers are isomorphic. This fact, in addition, to the relationship between SU (2) and SO(3) has a well-known, physi ...
Symmetries and quantum field theory: an introduction Jean-No¨ el Fuchs
... Symmetries constrain the form of theories (symmetry dictates design). We shall use space-time symmetries to construct relativistic field theories. Symmetries imply conservation laws. Even more so in quantum physics. In addition to space-time symmetries, there are also less obvious internal symmetrie ...
... Symmetries constrain the form of theories (symmetry dictates design). We shall use space-time symmetries to construct relativistic field theories. Symmetries imply conservation laws. Even more so in quantum physics. In addition to space-time symmetries, there are also less obvious internal symmetrie ...
Weyl`s Spinor and Dirac`s Equation - weylmann.com
... I’ve been planning for some time now to provide a simpli…ed write-up of Weyl’s seminal 1929 paper on gauge invariance. I’m still planning to do it, but since Weyl’s paper covers so much ground I thought I would …rst address a discovery that he made kind of in passing that (as far as I know) has noth ...
... I’ve been planning for some time now to provide a simpli…ed write-up of Weyl’s seminal 1929 paper on gauge invariance. I’m still planning to do it, but since Weyl’s paper covers so much ground I thought I would …rst address a discovery that he made kind of in passing that (as far as I know) has noth ...