Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering
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9780121555504

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4 Discussion of the phase equation and of the behavior of the phase function. Procedures for the numerical computation of scattering phase shifts

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60415-4 ◽

1967 ◽

pp. 13-20

Keyword(s):

Numerical Computation ◽

Phase Function ◽

Phase Shifts ◽

Phase Equation ◽

Scattering Phase ◽

Scattering Phase Shifts

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Bibliography

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60440-3 ◽

1967 ◽

pp. 238-239

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Appendix II: Variational and extremum principle for first-order differential equations

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60436-1 ◽

1967 ◽

pp. 205-214

Keyword(s):

Differential Equations ◽

Extremum Principle ◽

First Order ◽

First Order Differential Equations

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6 Connection between phase function and radial wave function. The amplitude function

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60417-8 ◽

1967 ◽

pp. 31-36

Keyword(s):

Wave Function ◽

Phase Function ◽

Radial Wave Function ◽

Amplitude Function ◽

Radial Wave

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15 Scattering on singular potentials. High-energy behavior and approximate expression of the scattering phase shift in this case

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60426-9 ◽

1967 ◽

pp. 97-112

Keyword(s):

Phase Shift ◽

Approximate Expression ◽

High Energy ◽

Singular Potentials ◽

High Energy Behavior ◽

Energy Behavior ◽

Scattering Phase

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22 Relation between the number of bound states and the value of the scattering phase shift at zero energy (Levinson's theorem)

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60433-6 ◽

1967 ◽

pp. 176-181

Keyword(s):

Phase Shift ◽

Bound States ◽

Zero Energy ◽

Levinson’S Theorem ◽

Scattering Phase

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Author Index

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60441-5 ◽

1967 ◽

pp. 241-242

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13 Generalized formulation of the phase method. Other types of phase equations

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60424-5 ◽

1967 ◽

pp. 85-92

Keyword(s):

Phase Method

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Appendix I: Riccati-Bessel, Riccati-Hankel, and other functions

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60435-x ◽

1967 ◽

pp. 198-204

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Appendix III: Asymptotic behavior of scattering phase shifts at large energy

Mathematics in Science and Engineering - Variable Phase Approach to Potential Scattering ◽

10.1016/s0076-5392(08)60437-3 ◽

1967 ◽

pp. 215-220

Keyword(s):

Asymptotic Behavior ◽

Phase Shifts ◽

Large Energy ◽

Scattering Phase ◽

Scattering Phase Shifts

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