Levinson theorem in two-dimensions

A two-dimensional analogue of Levinson's theorem for nonrelativistic quantum mechanics is established, which relates the phase shift at threshold(zero momentum) for the

m

th partial wave to the total number of bound states with angular momentum

m\hbar(m=0,1,2,...)

in an attractive central field.

Note:

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References(9)

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- Helv.Phys.Acta 30 143

- Nuovo Cim. 7 607

Noncentral Potentials: The Generalized Levinson Theorem and the Structure of the Spectrum

R.G. Newton
(
- Indiana U.
)

- J.Math.Phys. 18 (1977) 1348-1357
•
DOI:
- 10.1063/1.523428

- J.Math.Phys. 18 1582

THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS. (IN CHINESE)

Guang-Jiong Ni
(
- Fudan U.
)

- HEPNP 3 (1979) 432-449,
- Phys.Energ.Fort.Phys.Nucl.3 (1979) 432-449,
- IN *SINGAPORE 1983, PROCEEDINGS, 1ST ASIA-PACIFIC PHYSICS CONFERENCE, VOL. 2* 1111-1134.

Levinson Theorem for Dirac Particles

Zhong-Qi Ma
(
- SUNY, Stony Brook
)
,
Guang-Jiong Ni
(
- Fudan U.
)

- Phys.Rev.D 31 (1985) 1482
•
DOI:
- 10.1103/PhysRevD.31.1482

Levinson's theorem for Dirac equation

Nathan Poliatzky
(
- Weizmann Inst.
)

- Phys.Rev.Lett. 70 (1993) 2507-2510
•
e-Print:
- hep-th/9302093
•
DOI:
- 10.1103/PhysRevLett.70.2507

Levinson theorem in two-dimensions

Citations per year

Noncentral Potentials: The Generalized Levinson Theorem and the Structure of the Spectrum

THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS. (IN CHINESE)

Levinson Theorem for Dirac Particles

Levinson's theorem for Dirac equation

Normalization of scattering states, scattering phase shifts and Levinson's theorem

Levinson's theorem for Dirac particles