RESONANCE CALCULATIONS FOR ARBITRARY POTENTIALS

被引：74

作者：

YARIS, R ^{[1
]}

BENDLER, J ^{[1
]}

LOVETT, RA ^{[1
]}

BENDER, CM ^{[1
]}

FEDDERS, PA ^{[1
]}

机构：

[1] WASHINGTON UNIV,DEPT PHYS,ST LOUIS,MO 63130

来源：

PHYSICAL REVIEW A | 1978年 / 18卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.18.1816

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

On the basis of model calculations, we argue heuristically that the dilatation-transformation method is applicable to all potentials, even those that are not dilatation analytic. In particular, we show that resonances are converted into bound (localized) states on the nonphysical sheet of the complex energy plane under the action of a dilatation transformation. © 1978 The American Physical Society.

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页码：1816 / 1825

页数：10

相关论文

共 17 条

[1] BOUND-STATES IN CONTINUUM OF N-BODY SYSTEMS AND VIRIAL THEOREM [J].

ALBEVERIO, S .

ANNALS OF PHYSICS, 1972, 71 (01) :167-+

[2] SPECTRAL PROPERTIES OF MANY-BODY SCHRODINGER OPERATORS WITH DILATATION-ANALYTIC INTERACTIONS [J].

BALSLEV, E ;

COMBES, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 22 (04) :280-&

[3] ANHARMONIC OSCILLATOR .2. STUDY OF PERTURBATION-THEORY IN LARGE ORDER [J].

BENDER, CM ;

WU, TT .

PHYSICAL REVIEW D, 1973, 7 (06) :1620-1636

[4] CONTINUUM ORBITALS, COMPLEX SCALING PROBLEM, AND EXTENDED VIRIAL THEOREM [J].

BRANDAS, E ;

FROELICH, P .

PHYSICAL REVIEW A, 1977, 16 (06) :2207-2210

[5]

CERJAN C, UNPUBLISHED

[6] INTENSE FIELD MULTIPHOTON IONIZATION VIA COMPLEX DRESSED STATES - APPLICATION TO H-ATOM [J].

CHU, SI ;

REINHARDT, WP .

PHYSICAL REVIEW LETTERS, 1977, 39 (19) :1195-1198

[7] EVIDENCE FOR A RESONANCE IN E+-H S-WAVE SCATTERING [J].

DOOLEN, GD ;

NUTTALL, J ;

WHERRY, CJ .

PHYSICAL REVIEW LETTERS, 1978, 40 (05) :313-315

[8] PROCEDURE FOR CALCULATING RESONANCE EIGENVALUES [J].

DOOLEN, GD .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1975, 8 (04) :525-528

[9] ELECTRON-HYDROGEN RESONANCE CALCULATION BY COORDINATE-ROTATION METHOD [J].

DOOLEN, GD ;

NUTTALL, J ;

STAGAT, RW .

PHYSICAL REVIEW A, 1974, 10 (05) :1612-1615

[10]

GOTTFRIED K, 1966, QUANTUM MECHANICS, P161