VELOCITY PROFIT MULTIPLIER JIM FINK FULL

Especially the time-dependence of maximum and width of Gaussian wave packet solutions allow to show the evolution and connections of those two complementary aspects.

The dynamical properties of the wave and particle aspects of the harmonic oscillator can be studied with the help of the time-dependent Schroedinger equation (SE). The intermediate cases, in which only partial a priori information is given, are also discussed.Īlternative descriptions of wave and particle aspects of the harmonic oscillator

VELOCITY PROFIT MULTIPLIER JIM FINK FULL

The protective measurement requires a full a priori knowledge of the measured state. Yet, this equivalency also suggests that both measurement schemes account for the epistemological meaning of the wave function only. The protective measurement, therefore, allows for a definition of the quantum wave function on a single system. This protective measurement is shown to be equivalent to a measurement of an ensemble of states. Protective measurement of the wave function of a single squeezed harmonic-oscillator stateĪ scheme for the 'protective measurement' of the wave function of a squeezed harmonic-oscillator state is described. These quantities represent the solution of the classical equation of motion for the time dependent harmonic oscillator. The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values, and coherent state for a harmonic oscillator with a time dependent frequency and an external driving time dependent force. PMID:17710187Įxact solution of a quantum forced time-dependent harmonic oscillator The 460-GHz gyrotron will serve as a millimeter-wave source for sensitivity-enhanced nuclear magnetic resonance (dynamic nuclear polarization) experiments at a magnetic field of 16.4 T. The output radiation pattern was measured using a pyroelectric camera and is highly Gaussian, with an ellipticity of 4%. Nonlinear simulations of the gyrotron operation agree with the experimentally measured output power and radio-frequency (RF) efficiency when cavity ohmic losses are included in the analysis. CW operation was demonstrated for a one-hour period in the TE0,6,1 mode with better than 1% power stability, where the power was regulated using feedback control. The gyrotron also operates in the second harmonic TE2,6,1 mode at 456 GHz and in the TE2,3,1 fundamental mode at 233 GHz.

We report the regulated continuous-wave (CW) operation of a second harmonic gyrotron oscillator at output power levels of over 8 W (12.4 kV and 135 mA beam voltage and current) in the TE0,6,1 mode near 460 GHz. The transformation properties of these covariant wave functions are also demonstrated.Ĭontinuous-Wave Operation of a 460-GHz Second Harmonic Gyrotron Oscillator

It is shown that this wave function can be interpreted in terms of the unitary irreducible representations of the Poincare group. Using the relativistic harmonic oscillator, a physical basis is given to the phenomenological wave function of Yukawa which is covariant and normalizable. Covariant harmonic oscillators: 1973 revisited

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