phase factor वाक्य
उदाहरण वाक्य
मोबाइल
- But this is physically same as \ left | 1 \ right \ rangle as the exponential term is just a phase factor and does not produce a new state.
- Where \ varepsilon ( t, z ) is the perturbation term ( which, for mathematical convenience, has been multiplied by the same phase factor as A ).
- But if all particle charges are integer multiples of, solenoids with a flux of have no interference fringes, because the phase factor for any charged particle is 1 } }.
- Instead, the eigenvalues of the exchange operator may be complex phase factors ( in which case \ hat { P } is not Hermitian ), see anyon for this case.
- Therefore, a stationary state is a standing wave that oscillates with an overall complex phase factor, and its oscillation angular frequency is equal to its energy divided by \ hbar.
- Systems which can be labelled by good quantum numbers are actually eigenstates of the complex phase factor attached to it changes continuously with time, but it can't be observed.
- However, " differences " in phase factors between two interacting quantum states can sometimes be measurable ( such as in the Berry phase ) and this can have important consequences.
- This describes a fermionic braiding; don't pick up a phase factor when interchanging two bosons or a boson and a fermion, but multiply by-1 when interchanging two fermions.
- The phase factors " ? " 1 and " ? " 2 are physically meaningful only if neutrinos are unitary, a sterile neutrino or some other new physics is required.
- Where the oscillatory e ^ { i \ gamma Pz } phase factor accounts for the difference between the linear refractive index, and the modified refractive index, as raised by the Kerr effect.
- The extra phase factor expresses the fact that a quantum mechanical state defines a normalised vector in Hilbert space only up to a phase factor i . e . as an element of projectivised Hilbert space.
- The extra phase factor expresses the fact that a quantum mechanical state defines a normalised vector in Hilbert space only up to a phase factor i . e . as an element of projectivised Hilbert space.
- So, for an adiabatic process, a particle starting from nth eigenstate also remains in that nth eigenstate like it does for the time-independent processes, only picking up a couple of phase factors.
- In the case of non-birefringent materials, however, the 2? Jones matrix is the identity matrix ( multiplied by a scalar phase factor and attenuation factor ), implying no change in polarization during propagation.
- In other words, there is no physical difference between two polarization states | \ psi \ rangle and e ^ { i \ alpha } | \ psi \ rangle, between which only a phase factor differs.
- For systems in time-independent potentials, the wave function can always be written as a function of the degrees of freedom multiplied by a time-dependent phase factor, the form of which is given by the Schr�dinger equation.
- The map from paths to group elements is called the Wilson loop or the holonomy, and for a U ( 1 ) gauge group it is the phase factor which the wavefunction of a charged particle acquires as it traverses the path.
- Thus in consideration of this, a state | \ psi \ rangle can be encoded with this information ( i . e . the phase factor ) and thus evolve unitarily under this dephasing process, by defining the following encoded qubits:
- Applying this to the Lorentz group, if is a projective representation, then direct calculation using ( G4 ) shows that the induced representation on is, in fact, a proper representation, i . e . a representation without phase factors.
- When acting on an eigenket, the phase factor e ^ { ( \ alpha \ beta ^ *-\ alpha ^ * \ beta ) / 2 } appears in each term of the resulting state, which makes it physically irrelevant.
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