Advanced Plasma TheoryM. N. Rosenbluth |
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Page 16
... integral operator I is invariant under rotation the spherical harmonics are eigen - functions thereof and I ( † TN ) = K ÷ TN = λ ( c2 ) pTN , where 2 is a function ( unknown ! ) of c2 ; and K is an integral operator acting ( c2 ) . If ...
... integral operator I is invariant under rotation the spherical harmonics are eigen - functions thereof and I ( † TN ) = K ÷ TN = λ ( c2 ) pTN , where 2 is a function ( unknown ! ) of c2 ; and K is an integral operator acting ( c2 ) . If ...
Page 147
... integral indicated above as well as the integral over all velocities . Thus we have to do the integrals dq dvdτ exp [ pt ] exp [ ik , v , t ] exp [ ik_y ] exp fo2 ar faq fav får de It is convenient to use the identity ∞ exp [ ia sin u ] ...
... integral indicated above as well as the integral over all velocities . Thus we have to do the integrals dq dvdτ exp [ pt ] exp [ ik , v , t ] exp [ ik_y ] exp fo2 ar faq fav får de It is convenient to use the identity ∞ exp [ ia sin u ] ...
Page 186
... integral to an energy integral by means of ( 3.3 ) . In this way , equation ( 3.2 ) takes the form ( 3.5 ) d2q ( x ) d.r2 = 4ле ∞ dEf- ( E ) [ 2m ( E + eq ( x ) ) ] 1 [ 2m ( E + dEf- ( E ) eq ( x ) ) ] 1 If f and f are regarded as ...
... integral to an energy integral by means of ( 3.3 ) . In this way , equation ( 3.2 ) takes the form ( 3.5 ) d2q ( x ) d.r2 = 4ле ∞ dEf- ( E ) [ 2m ( E + eq ( x ) ) ] 1 [ 2m ( E + dEf- ( E ) eq ( x ) ) ] 1 If f and f are regarded as ...
Common terms and phrases
adiabatic invariant amplitude approximation Boltzmann equation boundary conditions boundary layer calculated cathode coefficient collision components consider constant contraction corresponds courbe critère current density d³k d³v Debye length derived differential equations discharge dispersion relation distribution function eigenvalue electric field electrostatic energy principle equations of motion equilibrium exp[i(k finite fluid theory frequency given Hence instability integral interaction ionized k₁ KRUSKAL KULSRUD l'axe magnétique limit lowest order magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle périodique perturbation Phys plasma oscillations plasma physics Poisson's equation potential problem quantities R₁ radial region Rendiconti S.I.F. satisfied saturation current solution solving stabilité stability temperature thermal tion v₁ values variables vector velocity voisinage waves in plasmas zero zero-order Απ