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A Theory of Collision Processes Involving No Radiation of Energy

A Theory of Collision Processes Involving No Radiation of Energy cedure might be worked out for applying the method to this case. This has been done by the author, using a comparison function de- signed to be orthogonal to the wave-function of the ground state. The following comparison function is or- thogonal to the exact wave-function Vl of the ground state: K(02-71V1), where 02 culated ionization potential. The parameters e and X correspond to Eckart's ca and (3for the state (Is)2. This comparison function gave the results summarized in the following table (ceo and fib are the adjusted values of the parameters, Rooh = unit of energy, W= energy, Vi = ioniza- tion potential): 11 W TFi Vi Z ao o (calc.) (obs.) (calc.) (obs.) He L 2 2.00 1.17 4.289 4.292 0.289 0.292 Li II 3 2.98 2.19 10.073 10.082 1.073 1.082 Be III 4 3.97 3.18 18.361 - 2.361 B IV 5 4.97 4.19 29.146 - 4.146 - = [u(al)v(G2) + u(a2)v(O31)]/[2(1 + b2)]1!2, b2 = (2x)3(x-1)2/(X + 1- ) 8, X = a/C! (Eckart, Phys. Rev. 36, 886), Vl= exact wave-function of ground state, y1 =fp2Olidr, K = [1 1 12 ]1/2. Ac- tually the use of a very accurate wave-func- tion for I,l (such http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

A Theory of Collision Processes Involving No Radiation of Energy

Morse, Philip M; Stueckelberg, E. C
Physical Review , Volume 37 (4) – Feb 15, 1931
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1931 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.37.449
Publisher site
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Abstract

cedure might be worked out for applying the method to this case. This has been done by the author, using a comparison function de- signed to be orthogonal to the wave-function of the ground state. The following comparison function is or- thogonal to the exact wave-function Vl of the ground state: K(02-71V1), where 02 culated ionization potential. The parameters e and X correspond to Eckart's ca and (3for the state (Is)2. This comparison function gave the results summarized in the following table (ceo and fib are the adjusted values of the parameters, Rooh = unit of energy, W= energy, Vi = ioniza- tion potential): 11 W TFi Vi Z ao o (calc.) (obs.) (calc.) (obs.) He L 2 2.00 1.17 4.289 4.292 0.289 0.292 Li II 3 2.98 2.19 10.073 10.082 1.073 1.082 Be III 4 3.97 3.18 18.361 - 2.361 B IV 5 4.97 4.19 29.146 - 4.146 - = [u(al)v(G2) + u(a2)v(O31)]/[2(1 + b2)]1!2, b2 = (2x)3(x-1)2/(X + 1- ) 8, X = a/C! (Eckart, Phys. Rev. 36, 886), Vl= exact wave-function of ground state, y1 =fp2Olidr, K = [1 1 12 ]1/2. Ac- tually the use of a very accurate wave-func- tion for I,l (such

Journal

Physical Review – American Physical Society (APS)

Published: Feb 15, 1931

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