×
Ben-Artzi, Matania; Devinatz, Allen

Spectral and scattering theory for the adiabatic oscillator and related potentials. (English) Zbl 0422.35064

J. Math. Phys. 20, 594-607 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0422.35064

Cited in 2 Reviews
Cited in 31 Documents

MSC:

35P25 Scattering theory for PDEs
34L99 Ordinary differential operators
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
35J10 Schrödinger operator, Schrödinger equation
47A40 Scattering theory of linear operators

Keywords:

Schrödinger operator; absolutely continuous spectrum; wave operators; oscillating potentials; unitary equivalence; adiabatic oscillator; essential spectrum
Cite Review PDF
Full Text: DOI

References:

[1] von Neumann J., Z. Physik 30 pp 465– (1929)
[2] Agmon S., Ann Scuol. Norm. Sup. Pisa 2 pp 151– (1975)
[3] DOI: 10.1007/BF01112407 · Zbl 0168.12301 · doi:10.1007/BF01112407
[4] Ikebe T., J. Math. Kyoto Univ. 7 pp 513– (1972)
[5] DOI: 10.1016/0022-1236(73)90088-8 · Zbl 0246.47017 · doi:10.1016/0022-1236(73)90088-8
[6] DOI: 10.2307/2371850 · Zbl 0034.05901 · doi:10.2307/2371850
[7] DOI: 10.1007/BF02415105 · Zbl 0056.08101 · doi:10.1007/BF02415105
[8] DOI: 10.1002/cpa.3160220405 · Zbl 0167.11003 · doi:10.1002/cpa.3160220405
[9] DOI: 10.1016/0022-247X(75)90142-0 · Zbl 0315.34070 · doi:10.1016/0022-247X(75)90142-0
[10] DOI: 10.1016/0003-4916(78)90230-0 · Zbl 0383.47011 · doi:10.1016/0003-4916(78)90230-0
[11] DOI: 10.1016/0022-247X(77)90247-5 · Zbl 0398.34012 · doi:10.1016/0022-247X(77)90247-5
[12] DOI: 10.2307/2372377 · Zbl 0035.27101 · doi:10.2307/2372377
[13] DOI: 10.1063/1.1703644 · Zbl 0106.42703 · doi:10.1063/1.1703644
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.