Abstract
Starting from the coherent state representation of the evolution operator with the help of the path-integral, we derive a formula for the low-lying levels E = ε0 − 2Δ εcos(s + ξ)π in disagreement with the suppression of tunneling (i.e. Δε = 0)as claimed in the literature. A new configuration called the macroscopic Fermi-particle is suggested by the nature of its wave function. The tunneling rate \(\left( {\frac{{2\Delta \varepsilon }} {\pi }} \right)\) does not vanish, not for integer spin s nor for a half-integer value of s, and is calculated explicitly (for the position dependent mass) up to the one-loop approximation.
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Liang, JQ., Müller-Kirsten, H.J.W. & Zhou, JG. Quenching of macroscopic quantum coherence and macroscopic Fermi-particle configurations. Zeitschrift für Physik B Condensed Matter 102, 525–529 (1997). https://doi.org/10.1007/s002570050321
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DOI: https://doi.org/10.1007/s002570050321