Ħ (minuscule: ħ) is a letter of the Latin alphabet, derived from H with the addition of a bar. It is used in Maltese for a voiceless pharyngeal fricative...

written using ℏ {\textstyle \hbar } as opposed to h {\textstyle h} , and it is usually ℏ {\textstyle \hbar } rather than h {\textstyle h} that gives the...

ɹ̠̊˔ ɹ̠˔ ɻ̊˔ ɻ˔ ç ʝ x ɣ χ ʁ ħ ʕ h ɦ Approximant ʋ ɹ ɻ j ɰ ʔ̞ Tap/flap ⱱ̟ ⱱ ɾ̼ ɾ̥ ɾ ɽ̊ ɽ ɢ̆ ʡ̆ Trill ʙ̥ ʙ r̥ r ɽ̊r̥ ɽr ʀ̥ ʀ ʜ ʢ Lateral affricate tɬ dɮ tꞎ...

prefix h, meaning 100 times. H with diacritics: Ĥ ĥ Ȟ ȟ Ħ ħ Ḩ ḩ Ⱨ ⱨ ẖ ẖ Ḥ ḥ Ḣ ḣ Ḧ ḧ Ḫ ḫ ꞕ Ꜧ ꜧ IPA-specific symbols related to H: ʜ ɦ ʰ ʱ ɥ ᶣ ɧ Superscript...

in 1928: σ x σ p ≥ ℏ 2 {\displaystyle \sigma _{x}\sigma _{p}\geq {\frac {\hbar }{2}}} where ℏ = h 2 π {\displaystyle \hbar ={\frac {h}{2\pi }}} is the reduced...

equation for a single nonrelativistic particle in one dimension: i ℏ ∂ ∂ t Ψ ( x , t ) = [ − ℏ 2 2 m ∂ 2 ∂ x 2 + V ( x , t ) ] Ψ ( x , t ) . {\displaystyle...

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...

commutation relations with each other: [ L x , L y ] = i ℏ L z , [ L y , L z ] = i ℏ L x , [ L z , L x ] = i ℏ L y , {\displaystyle \left[L_{x},L_{y}\right]=i\hbar...

U ( t ) − i ℏ U † ( t ) A S ( t ) U ( t ) U † ( t ) H S ( t ) U ( t ) + ( ∂ A S ∂ t ) H = i ℏ [ H H ( t ) , A H ( t ) ] + ( ∂ A S ∂ t ) H , {\displaystyle...

amount to Hermite functions, ψ n ( x ) = 1 2 n n ! ( m ω π ℏ ) 1 / 4 e − m ω x 2 2 ℏ H n ( m ω ℏ x ) , n = 0 , 1 , 2 , … . {\displaystyle \psi _{n}(x)={\frac...

the International Phonetic Alphabet that represents this sound is an h-bar, ⟨ħ⟩, and the equivalent X-SAMPA symbol is X\. In the transcription of Arabic...

the values of the following discrete set: s z ∈ { − s ℏ , − ( s − 1 ) ℏ , … , + ( s − 1 ) ℏ , + s ℏ } . {\displaystyle s_{z}\in \{-s\hbar ,-(s-1)\hbar ...

H ^ = − ℏ 2 2 ∑ i = 1 N 1 m i ∇ i 2 + ∑ i = 1 N V i = ∑ i = 1 N ( − ℏ 2 2 m i ∇ i 2 + V i ) = ∑ i = 1 N H ^ i {\displaystyle {\begin{aligned}{\hat {H}}&=-{\frac...

d Q ^ d t = i ℏ [ H ^ , Q ^ ] {\displaystyle {\frac {d{\hat {Q}}}{dt}}={\frac {i}{\hbar }}[{\hat {H}},{\hat {Q}}]} d P ^ d t = i ℏ [ H ^ , P ^ ] . {\displaystyle...

2 = − ( i 2 m c 2 ℏ ∂ ϕ ∂ t + ( m c 2 ℏ ) 2 ϕ − ∂ 2 ϕ ∂ t 2 ) e − i ℏ m c 2 t ≈ − ( i 2 m c 2 ℏ ∂ ϕ ∂ t + ( m c 2 ℏ ) 2 ϕ ) e − i ℏ m c 2 t {\displaystyle...

dimension, the definition is: p ^ = − i ℏ ∂ ∂ x {\displaystyle {\hat {p}}=-i\hbar {\frac {\partial }{\partial x}}} where ħ is the reduced Planck constant, i...

t = 1 i ℏ [ − ℏ 2 Ψ ∗ 2 m ∇ 2 Ψ + U Ψ ∗ Ψ ] − 1 i ℏ [ − ℏ 2 Ψ 2 m ∇ 2 Ψ ∗ + U Ψ Ψ ∗ ] = 1 i ℏ [ − ℏ 2 Ψ ∗ 2 m ∇ 2 Ψ + U Ψ ∗ Ψ ] + 1 i ℏ [ + ℏ 2 Ψ 2 m...

pharyngeal /ħ/, or velar /x/. In Arabic, two corresponding letters were created for both phonemic sounds: unmodified ḥāʾ ح represents /ħ/, while ḫāʾ خ...

unit system uses the following defining constants: c, ħ, G, kB, where c is the speed of light, ħ is the reduced Planck constant, G is the gravitational...

) = 1 ℏ ∑ k = 0 ∞ ℏ k A k ( x ) {\displaystyle A(x)={\frac {1}{\hbar }}\sum _{k=0}^{\infty }\hbar ^{k}A_{k}(x)} and B ( x ) = 1 ℏ ∑ k = 0 ∞ ℏ k B k (...

and Jz: | α | 2 = ℏ 2 j ( j + 1 ) − ℏ 2 m 2 − ℏ 2 m = ℏ 2 ( j − m ) ( j + m + 1 ) , | β | 2 = ℏ 2 j ( j + 1 ) − ℏ 2 m 2 + ℏ 2 m = ℏ 2 ( j + m ) ( j −...

) = e i H 0 , S t / ℏ H 1 , S e − i H 0 , S t / ℏ , {\displaystyle H_{1,{\text{I}}}(t)=\mathrm {e} ^{\mathrm {i} H_{0,{\text{S}}}t/\hbar }H_{1,{\text{S}}}\mathrm...

i ℏ ∫ t 0 t d t 1 e i ℏ λ V ( t 1 − t 0 ) H 0 e − i ℏ λ V ( t 1 − t 0 ) − 1 ℏ 2 ∫ t 0 t d t 1 ∫ t 0 t 1 d t 2 e i ℏ λ V ( t 1 − t 0 ) H 0 e − i ℏ λ V...

^ eff = − i ℏ ∇ + ℏ k , {\displaystyle {\hat {\mathbf {p} }}_{\text{eff}}=-i\hbar \nabla +\hbar \mathbf {k} ,} a standard momentum − i ℏ ∇ {\displaystyle...

Hamiltonian: [ H ^ , a ] = [ ℏ ω ( a a † − 1 2 ) , a ] = ℏ ω [ a a † , a ] = ℏ ω ( a [ a † , a ] + [ a , a ] a † ) = − ℏ ω a . [ H ^ , a † ] = ℏ ω a † . {\displaystyle...

SI units, is H ^ = − ℏ 2 2 m e ∇ 1 2 − ℏ 2 2 m e ∇ 2 2 − 2 e 2 4 π ϵ 0 r 1 − 2 e 2 4 π ϵ 0 r 2 + e 2 4 π ϵ 0 r 12 , {\displaystyle {\hat {H}}=-{\frac {\hbar...

to calculate i ℏ U ˙ U † = i ℏ ( d U d t ) e − i H 0 t / ℏ = i ℏ ( i H 0 / ℏ ) e + i H 0 t / ℏ e − i H 0 t / ℏ = i ℏ ( i H 0 / ℏ ) = − H 0 , {\displaystyle...

= h ν = h c λ = h c ν ~ , {\displaystyle E=h\nu ={\frac {hc}{\lambda }}=hc{\tilde {\nu }},} as well as the following "angular" forms: E = ℏ ω = ℏ c y...

written as Γ i → f = 2 π ℏ | ⟨ f | H ′ | i ⟩ | 2 g ( ℏ ω ) , {\displaystyle \Gamma _{i\to f}={\frac {2\pi }{\hbar }}\left|\langle f|H'|i\rangle \right|^{2}g(\hbar...

h ∼ G M c 2 {\displaystyle R_{bh}\sim {\frac {GM}{c^{2}}}} , and the Bekenstein–Hawking entropy of the black hole is ∼ k c 3 R b h 2 ℏ G ∼ k G M 2 ℏ c...