zbMATH — the first resource for mathematics

Solution of the central field problem for a Duffin-Kemmer-Petiau vector boson. (English) Zbl 0816.35145
Summary: In view of current interest in the use of Duffin-Kemmer-Petiau (DKP) relativistic equation, the problem of the vector DKP boson in a central field is resolved and the system of first-order coupled differential radial equations needed for an exact calculation of the eigenvalues as well as the full ten-component spinor is derived. This is of practical importance for problems involving massive vector bosons in central fields. This formalism is applied to the free-particle, spherically symmetric square well and Coulomb problems.

35Q75 PDEs in connection with relativity and gravitational theory
81V25 Other elementary particle theory in quantum theory
83A05 Special relativity
Full Text: DOI
[1] DOI: 10.1103/PhysRevC.43.801
[2] DOI: 10.1143/PTP.88.1
[3] DOI: 10.1088/0305-4470/26/6/021
[4] Proca A., C. R. Acad. Sci. (Paris) 202 pp 1420– (1936)
[5] DOI: 10.1103/PhysRev.133.B1318
[6] Petiau G., Acad. R. Belg. CI. Sci. Mem. Collect. 16 pp 2– (1936)
[7] DOI: 10.1098/rspa.1939.0131 · Zbl 0023.19003
[8] DOI: 10.1098/rspa.1939.0131 · Zbl 0023.19003
[9] DOI: 10.1103/PhysRev.54.1114 · Zbl 0020.09006
[10] DOI: 10.1119/1.11054
[11] DOI: 10.1103/PhysRevC.40.2181
[12] DOI: 10.1088/0954-3899/19/1/006
[13] Krolikowski W., Acta Phys. Pol. B 18 pp 111– (1987)
[14] DOI: 10.1103/PhysRevD.11.1442
[15] Krolikowski W., Acta Phys. Pol. B 20 pp 119– (1989)
[16] DOI: 10.1103/PhysRevD.38.3295
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.