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H-bar or h-bar can refer to: H with stroke, a Latin letter H with a doubled horizontal stroke (Ħ ħ) Voiceless pharyngeal fricative, represented in IPA by ħ Reduced Planck constant, in which the above symbol represents as a mathematical symbol, ħ = h/(2π) Antihydrogen, an antimatter element represented by the symbol H
The Planck constant, or Planck's constant, denoted by , [1] is a fundamental physical constant [1] of foundational importance in quantum mechanics: a photon's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a matter wave equals the Planck constant divided by the associated particle momentum.
In this context, it is pronounced "h-bar". The lowercase resembles the Cyrillic letter Tshe (ћ), or the astronomical symbol of Saturn (♄). A white uppercase Ħ on a red square was the logo of Heritage Malta until 2022. [3] It is used as the symbol for Hedera Hashgraph's native cryptocurrency, HBAR. [4]
The constants listed here are known values of physical constants expressed in SI units; that is, physical quantities that are generally believed to be universal in nature and thus are independent of the unit system in which they are measured.
If, by a shorthand convention, it is understood that each physical quantity is the corresponding ratio with a coherent Planck unit (or "expressed in Planck units"), the ratios above may be expressed simply with the symbols of physical quantity, without being scaled explicitly by their corresponding unit: ′ = ′ ′ ′.
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(Common) symbol/s Defining equation SI unit Dimension Wavefunction: ψ, Ψ To solve from the Schrödinger equation: varies with situation and number of particles Wavefunction probability density: ρ = | | = m −3 [L] −3: Wavefunction probability current: j: Non-relativistic, no external field:
The Planck relation [1] [2] [3] (referred to as Planck's energy–frequency relation, [4] the Planck–Einstein relation, [5] Planck equation, [6] and Planck formula, [7] though the latter might also refer to Planck's law [8] [9]) is a fundamental equation in quantum mechanics which states that the energy E of a photon, known as photon energy, is proportional to its frequency ν: =.