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Further lecture courses in the Theoretical Minimum series have been delivered by Susskind, on these subjects (or with these titles): Advanced quantum mechanics. Higgs boson. Quantum entanglement. Relativity. Particle Physics 1: Basic Concepts. Particle Physics 2: Standard Model. Particle Physics 3: Super-symmetry and Grand Unification. String ...
For example, when rotating a stationary (zero momentum) spin-5 particle about its center, is a rotation in 3D space (an element of ()), while () is an operator whose domain and range are each the space of possible quantum states of this particle, in this example the projective space associated with an 11-dimensional complex Hilbert space .
Particle physics or high-energy physics is the study of fundamental particles and forces that constitute matter and radiation. The field also studies combinations of elementary particles up to the scale of protons and neutrons , while the study of combination of protons and neutrons is called nuclear physics .
When calculating scattering cross-sections in particle physics, the interaction between particles can be described by starting from a free field that describes the incoming and outgoing particles, and including an interaction Hamiltonian to describe how the particles deflect one another. The amplitude for scattering is the sum of each possible ...
In lattice field theory, Wilson fermions are a fermion discretization that allows to avoid the fermion doubling problem proposed by Kenneth Wilson in 1974. [1] They are widely used, for instance in lattice QCD calculations.
In the S-matrix formulation of particle physics, which was pioneered by John Archibald Wheeler among others, [6] all physical processes are modeled according to the following paradigm. [ 7 ] One begins with a non-interacting multiparticle state in the distant past.
Physics – branch of science that studies matter [9] and its motion through space and time, along with related concepts such as energy and force. [10] Physics is one of the "fundamental sciences" because the other natural sciences (like biology, geology etc.) deal with systems that seem to obey the laws of physics. According to physics, the ...
A free particle with mass in non-relativistic quantum mechanics is described by the free Schrödinger equation: (,) = (,) where ψ is the wavefunction of the particle at position r and time t . The solution for a particle with momentum p or wave vector k , at angular frequency ω or energy E , is given by a complex plane wave :