Dictionary of Material Science and High Energy Physics Part 2 pptx

... radial and an- gular parts: ψ(r)=f λ (r)Y λm (θ,φ). If the ra- dial part is written in the formf λ (r)=u λ (r)/r, the function u λ (r) can satisfy  − η 2 2m d 2 dr 2 + η 2 2m λ(λ+ 1) r 2 +V(r)−E  u λ (r)= ... eigenstates of angu- lar momentum J 2 . We require the components of J 1 to commute with those of J 2 . We de- fine J = J 1 + J 2 , and if states |JM>...

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... a symmetric matrix. If X 1 and X 2 are the forces and J 1 and J 2 are the currents we write, J 1 = L 11 X 1 + L 12 X 2 , J 2 = L 21 X 1 + L 22 X 2 , where L 12 = L 21 . Kohler considered anisotropic ... function of frequency ω yields: I(ω) =2     2 δω −ω 0 +  /2 ( ω − ω 0 ) 2 +  2 + 3/8 ( ω − ω 0 −  ) 2 + (3 /2) 2 + 3/8 ( ω − ω 0 +  ) 2 + (...

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... dielectric constant. The upper and lower polariton branches of the dis- persion formula are given by the solutions of the relation c 2 k 2 ω 2 = ε ∞ +  2 p ω 2 0 −ω 2 , where ε ∞ is the background ... range. principle of superposition If |ψ 1 > and |ψ 2 > are possible states of a system, then by the superposition principle, a 1 |ψ 1 >+a 2 |ψ 2 >,...

Ngày tải lên: 10/08/2014, 11:22

... Applied Physics Dipak Basu Dictionary of Material Science and High Energy Physics Dipak Basu Dictionary of Geophysics, Astrophysics, and Astronomy Richard A. Matzner © 20 01 by CRC Press LLC This ... P l [cos( ˆ r 1 · ˆ r 2 )]= 4π 2l+1  m=l m=−l Y ∗ lm (θ 1 φ 1 )Y lm (θ 2 φ 2 ), whereθ 1 φ 1 and 2 φ 2 are the polar and azimuthal angles of partic...

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... stimulatedemissionofa photonfrom a level 1 to a level 2. If level 2 is higher in en- ergy than level 1, the coefficient of stimulated emission B 21 and stimulated absorption B 12 are given by B 12 = g 2 g 1 B 21 A 21 = 8πhν 3 c 3 B 21 , where ... by B 12 = g 2 g 1 B 21 A 21 = 8πhν 3 c 3 B 21 , where A 21 is the Einstein A coefficient for the transition from 2 →...

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... to C v and the specific heat at constant volume, < (E−<E>) 2 >=k B T 2 C v . energy gap The energy range between the bottom of the conduction band and the top of the valence band in ... shift). energy spectrum The set of energy eigen- states of a physical system. The set of possible outcomes of a measurement of the energy; also known as the set of...

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... isotope 23 5 to about 3% from the natu- ral abundance of the uranium isotopes, which in- clude 23 4 U at .0055%, 2 35U at 0. 72 %, and 2 38U at 99 .27 %. Nuclear fuel composed of 3 .2% 23 5 U can ... v, the total energy of the system H = 2  1 2 mv 2  = mv 2 . The magni- tude of the orbital angular momentum | L | = L = 2  a 2 mv  = amv. Therefore, the Hamil-...

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... =  − ¯ h 2 2m ∇ 2 1 − 1 4πε 0 2e 2 r 1  +  − ¯ h 2 2m ∇ 2 2 − 1 4πε 0 2e 2 r 2  + 1 4πε 0 e 2 | r 1 − r 2 | which consists of the sum of two hydrogenic (with nuclear charge 2e) Hamiltonians, one for electron 1 and one ... totalrelativistickinetic energy and the second term is the rest energy. In terms of the relativistic momentum p, where p = mv  1 −  v c...

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... equa- tion: i ¯ h ∂(r,t) ∂t =  − ¯ h 2 2µ ∇ 2 r + V(r)  (r,t) µ = m 1 m 2 m 1 +m 2 is the reduced mass for particles of mass m 1 and m 2 , and r = r 1 − r 2 are the relative position vectors of particles 1 and 2. Suitable ... 2g 1 g 2 ) 2 d 2 z 1 ,2 = g 2, 1 (1 − g 1 ,2 ) g 1 + g 2 − 2g 1 g 2 d The linewidth of a laser is given by the convo- lution...

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... (k z = o): E  k x k y  = ¯ h 2 2m k 2 x + ¯ h 2 2m  k 2 y = E o E  k x k y  =− ¯ h 2 2m k 2 x + ¯ h 2 k 2 y 2m  − V o = E o where all the quantities E o ,V o ,m, and m  are positive. Thefirst ... vectors, G =m 1 b 1 +b 2 +m 3 b 3 , where m 1 ,m 2 , and m 3 are integers, and b 1 = 2 a 2 ×a 3 /v c , b 2 = 2 a 3 ×a 1 /v c , and b 3 = 2 a 1 ×a 2...

Ngày tải lên: 10/08/2014, 11:22