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Quantum mechanical barrier problems: I. Coherence and tunneling in asymmetric potentials

โœ Scribed by H. Dekker

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
492 KB
Volume
146
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

Three different types of quantum mechanical barrier systems are considered as eigenvalue problems. First, the real energy levels of the local ground states in a weakly biased double-well potential are determined by connecting wave functions across the barrier. For each energy level the amplitude leak through the barrier is also given. Second, the tunnelling decay rate is found as the imaginary part of the energy eigenvalues for a weakly biased local oscillator leaking through a barrier into free space. This requires connecting wave functions both across the barrier and across a harmonic turning point. Third, connecting wave functions across a linear turning point, the tunnelling decay rate is obtained for a strongly biased local oscillator. Weak and strong bias decay rates are compared for a quartic potential.

๐Ÿ“œ SIMILAR VOLUMES

Quantum coherence and tunnelling in a do
Quantum coherence and tunnelling in a double-well potential in a thermal environment: dynamics of the weakly coupled spin-boson system
โœ H. Dekker ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 22 KB

Quantum coherence and tunnelling in a double-well potential in a thermal environment: dynamics of the weakly coupled spin-boson system H. DEKKER [Physica 144A (1987) 4531 p. 458, 1st line below eq. (2.10): "Hamiltonian part of" should read: "Hermitian part of".