Josephson Tunneling of Excited States in a Double-Well Potential

Progress in Optical Science and Photonics - Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations ◽

10.1007/10091_2012_11 ◽

2012 ◽

pp. 583-599 ◽

Cited By ~ 1

Author(s):

H. Susanto ◽

J. Cuevas

Keyword(s):

Excited States ◽

Josephson Tunneling ◽

Double Well Potential

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Thermodynamic Properties of Bosons in Symmetric Double-well Potentials

Zeitschrift für Naturforschung A ◽

10.1515/zna-1999-3-408 ◽

1999 ◽

Vol 54 (3-4) ◽

pp. 204-212

Author(s):

J. Choy ◽

K. L. Liu ◽

C. F. Lo ◽

F. So

Keyword(s):

Thermodynamic Properties ◽

Excited States ◽

Low Temperatures ◽

Three Dimensional ◽

Energy Difference ◽

Einstein Condensation ◽

Thermal Variation ◽

Bose Einstein Condensation ◽

Bose Einstein ◽

Double Well Potential

We study the thermodynamic properties and the Bose-Einstein condensation (BEC) for a finite num-ber N of identical non-interacting bosons in the field of a deep symmetric double-well potential (SDWP). The temperature dependence of the heat capacity C(T) at low temperatures is analyzed, and we derive several generic results which are valid when the energy difference between the first two excited states is sufficiently large. We also investigate numerically the properties of non-interacting bosons in three-dimensional superpositions of deep quartic SDWP's. At low temperatures, we find that C(T) displays microstructures which are sensitive to the value of N and the thermal variation of the condensate frac-tion shows a characteristic plateau. The origin of these features is discussed, and some general conclu-sions are drawn.

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Variational method for excited states from supersymmetric techniques

Canadian Journal of Physics ◽

10.1139/p03-096 ◽

2003 ◽

Vol 81 (11) ◽

pp. 1283-1291 ◽

Cited By ~ 7

Author(s):

G RP Borges ◽

A de Souza Dutra ◽

Elso Drigo ◽

J R Ruggiero

Keyword(s):

Variational Method ◽

Numerical Integration ◽

Excited States ◽

Ground State ◽

Potential Parameter ◽

The One ◽

Double Well Potential ◽

Good Agreement ◽

03.65 Ge

We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ground state. The construction of an effective hierarchy of Hamiltonians is used to determine excited variational energies. The first four eigenvalues for a quartic double-well potential are calculated for several values of the potential parameter. The results are in very good agreement with the eigenvalues obtained by numerical integration. PACS Nos.: 11.30.Pb, 03.65.Ge

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Vuv Spectra Y to Mo

International Astronomical Union Colloquium ◽

10.1017/s0252921100107808 ◽

1988 ◽

Vol 102 ◽

pp. 239

Author(s):

M.S.Z. Chaghtai

Keyword(s):

Excited States ◽

Spectral Analyses ◽

Vuv Spectra

Using R.D. Cowan’s computations (1979) and parametric calculations of Meinders et al (1982), old analyses are thoroughly revised and extended at Aligarh, of Zr III by Khan et al (1981), of Nb IV by Shujauddin et Chaghtai (1985), of Mo V by Tauheed at al (1985). Cabeza et al (1986) confirmed the last one largely.Extensive studies have been reported of the 1–e spectra, Zr IV (Rahimullah et al 1980; Acquista and Reader 1980), Nb V (Shujauddin et al 1982; Kagan et al 1981) and Mo VI (Edlén et al 1985). Some interacting 4p54d2levels of these spectra have been reported from our laboratory, also.Detailed spectral analyses of transitions between excited states have furnished complete energy values for J ≠ 1 levels of these spectra during 1970s and 80s. Shujauddin et al (1982) have worked out Nb VI and Tauheed et al (1984) Mo VII from our lab, while Khan et al (1981) share the work on Zr V with Reader and Acquista (1979).

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