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  1. Dictionary
    phase
    /feɪz/

    noun

    • 1. a distinct period or stage in a series of events or a process of change or development: "the final phases of the war" Similar stageperiodchapterepisode
    • 2. each of the aspects of the moon or a planet, according to the amount of its illumination, especially the new moon, the first quarter, the full moon, and the last quarter. Similar aspectshapeformappearance

    verb

    • 1. carry out (something) in gradual stages: "the work is being phased over a number of years"
    • 2. adjust the phase of (something), especially so as to synchronize it with something else: "about 70% of the reflections were phased by this method"

    More definitions, origin and scrabble points

  2. Aug 12, 2018 · The Phase: The phase of the wave is the quantity inside the brackets of the sin-function, and it is an angle measured either in degrees or radians. ϕ = (2π λ x − 2π T t) ϕ = (2 π λ x − 2 π T t) The phase of a wave is not a fixed quantity. Its value depends on what point along the x-axis and at what time you observe the wave.

  3. We say that two functions of the same frequency are "out of phase" if this above condition is not met. We can specify how much they are out of phase by using the phase angle $\phi$. If two functions of the same frequency are off by a phase angle of $\frac{\omega t}{2}$ then the crest of one wave will always match up with the trough of another.

  4. Feb 8, 2017 · A phase constant of ϕ means that each value of the signal happens ϕ amount of time earlier. If the signal has a beginning, then a phase constant of ϕ means the signal occurs that much sooner. The phase constant is particularly significant when you have multiple signals, because having different phases can cause destructive interference.

  5. May 24, 2015 · The velocity phase space is not, in general, a symplectic manifold. To be able to ascertain how the phase flow transforms a volume, you need to have a structure that defines volume, which in the momentum phase space, the symplectic form does, while in the velocity phase space, there is no such canonical structure.

  6. Feb 22, 2017 · Because, as the asker has mentioned, they are continuously connected in the phase diagram through the "supercritical" regime. By definition, two states of matter are in the same phase if they can be smoothly deformed to each other without going through phase transitions. Historically, liquid and gas are named as different phases (by mistake ...

  7. Feb 11, 2018 · In thermodynamics when we talk about phase we mean the phases like liquid, solid and gas. In chemistry one can have phases which refer to the crystal structure of materials for example in perovskites, the orthorhombic and tetragonal phases are most common non-cubic variants. Mixed throughout, as inn general language, we sometimes talk of a ...

  8. So the phase difference is pi/2. Infact, cos wave is just the sine wave phase-shifted. If two waves have zero phase difference, then their crests occur at the same time and so do their troughs. Its like moving together. They will add up (constructive interference). For only one wave, phase difference means how much the wave is shifted from the ...

  9. Aug 3, 2023 · 2. For progressive waves we define phase difference as difference in phase angle between two points. However for standing waves, the phase difference becomes something else. We say two points are in phase when they travel in the same direction and with the same amplitude. So why have the definitions changed here?

  10. Jul 25, 2018 · The derivation above shows that the group velocity ($\omega_0^\prime$) and phase velocity ($\omega_0$) are decoupled, and both are tied to the enveloppe and the carrier respectively and the latter is monochromatic, therefore, even though we have a 'dispersive' media because 'phase velocity depends on frequency', there's only one frequency that is affected by that (the monochromatic, central frequency)

  11. Given that one usually defines two different velocities for a wave, these being the phase velocity and the group velocity, I was asking their meaning for the associated particle in quantum mechanic...