Trajectories of charged particles trapped in Earth`s magnetic field
... in an electric and magnetic field and describes the cyclotron, bounce and drift motions. It also shows some typical particle trajectories under the dipolar magnetic field, approximating the Earth’s field. Section III introduces the concept of adiabatic invariants and derives the first adiabatic inva ...
... in an electric and magnetic field and describes the cyclotron, bounce and drift motions. It also shows some typical particle trajectories under the dipolar magnetic field, approximating the Earth’s field. Section III introduces the concept of adiabatic invariants and derives the first adiabatic inva ...
Time-dependent perturbation
... The interaction picture is a half way between the Schrödinger and Heisenberg pictures, and is particularly suited to develop the perturbation theory. It is also called the Dirac picture. It tries to discard the “trivial” time-dependence due to the unperturbed Hamiltonian which is by assumption exac ...
... The interaction picture is a half way between the Schrödinger and Heisenberg pictures, and is particularly suited to develop the perturbation theory. It is also called the Dirac picture. It tries to discard the “trivial” time-dependence due to the unperturbed Hamiltonian which is by assumption exac ...
Extension of Lorentz Group Representations for Chiral Fermions
... The principles of quantum measurement are at the foundation of particle physics. For example, particle spin and momentum assignments are determined by quantum representations of the Lorentz group [1], and quantum electrodynamics as a local U (1) gauge theory emerges naturally from the phase invarian ...
... The principles of quantum measurement are at the foundation of particle physics. For example, particle spin and momentum assignments are determined by quantum representations of the Lorentz group [1], and quantum electrodynamics as a local U (1) gauge theory emerges naturally from the phase invarian ...
Complete description of a quantum system at a given time
... In the standard approach to quantum theory, operators with no common eigenstates cannot have definite values simultaneously. For example, there is no state vector of a spin-f particle for which we can predict with certainty the result of measuring ux and the result of measuring U? when one of these ...
... In the standard approach to quantum theory, operators with no common eigenstates cannot have definite values simultaneously. For example, there is no state vector of a spin-f particle for which we can predict with certainty the result of measuring ux and the result of measuring U? when one of these ...
Exchange, antisymmetry and Pauli repulsion
... Unfortunately, if particles have a continuous existence, then the usual way of arguing in terms of permutation invariance and so on becomes invalid. We can no longer assume identical particles are always indistinguishable, since they may be distinguished by their spatial relations (trajectories). Pe ...
... Unfortunately, if particles have a continuous existence, then the usual way of arguing in terms of permutation invariance and so on becomes invalid. We can no longer assume identical particles are always indistinguishable, since they may be distinguished by their spatial relations (trajectories). Pe ...
Wednesday, Nov. 8, 2006
... transformations that keep the equation of motion unchanged or invariant • Equations of motion can be obtained through – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the Lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion ...
... transformations that keep the equation of motion unchanged or invariant • Equations of motion can be obtained through – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the Lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion ...
![arXiv:1203.2158v1 [hep-th] 9 Mar 2012 The “tetrad only” theory](http://s1.studyres.com/store/data/016613184_1-9fc43c0ba152dfbab9c386708b4475ee-300x300.png)
Exceptional Points and Dynamical Phase Transitions
... point) and the topological phase of the crossing point is twice the Berry phase. When rk < 1 (regime of resonance overlapping with avoided level crossings), the Schrödinger equation is nonlinear and the levels are mixed (entangled) in the parameter range in which the resonances overlap. The paramet ...
... point) and the topological phase of the crossing point is twice the Berry phase. When rk < 1 (regime of resonance overlapping with avoided level crossings), the Schrödinger equation is nonlinear and the levels are mixed (entangled) in the parameter range in which the resonances overlap. The paramet ...
Quantum Chaos
... What are the appropriate quantum observables to detect the regular or chaotic classical behaviour of the system? More precisely, how does the regular or chaotic classical behaviour translate in the energy levels and eigenstates of the (bound) system? For an open system, in the decay rates, in the ...
... What are the appropriate quantum observables to detect the regular or chaotic classical behaviour of the system? More precisely, how does the regular or chaotic classical behaviour translate in the energy levels and eigenstates of the (bound) system? For an open system, in the decay rates, in the ...
