The problem of wave packet tunneling in a potential V (x) = (mω2/2) ( x2 − δxν ) with ν > 2 is considered in the case when the barrier height is much greater than h̄ω and the difference between the average energy of the packet and the oscillator ground state energy h̄ω/2 is sufficiently small. The universal Poisson distribution of the partial tunneling rates from the oscillator energy levels is d...

Tunneling phenomenon is well recognized as one of the most important quantum mechanical effects from the dawn of quantum mechanics, and it actually plays crucial role in all branches of science from elementary particle physics to biology. In this work, we consider one of the basic phenomena: tunneling splitting in multi-dimensional double well potential and present a canonically invariant insta...

We use electron tunneling to measure electronic energy levels in individual nm-scale Al particles. For sufficiently large particles (*5 nm in radius), the eigenstate energies reveal the existence of a superconducting excitation gap V which is driven continuously to zero by an applied magnetic field. The presence of V increases the voltage threshold for tunneling in a particle with an even numbe...

Ab initio CIS/6-311++G(d,p) calculations of geometry and vibrational frequencies have been carried out in the A state of tropolone. The grids of potential energy surfaces along the coordinates of high frequency tunneling vibration and the low-frequency coupled vibration have been calculated. Two-dimensional model potentials, formed from symmetric mode coupling potential and squeezed double well...

The numerical challenge associated with the time-dependent approach to the general problem of the decay of a metastable state by quantum tunneling is discussed and methods towards its application to concrete problems are presented. In particular, different artificial boundary conditions were implemented in order to reduce the reflections of the wave packet at the numerical boundaries. They are ...

Zeeman splitting of the ground state of single impurities in the quantum well of a resonant tunneling heterostructure is reported. We determine the absolute magnitude of the effective magnetic spin splitting factor g ' for a single impurity in a 44 Å Al0.27Ga0.73AsyGaAsyAl0.27Ga0.73As quantum well to be 0.28 6 0.02. This system also allows for independent measurement of the electron tunneling r...

The tunneling conductance between two parallel 2D electron systems has been measured in a regime of strong interlayer Coulomb correlations. At total Landau level filling nuT=1 the tunnel spectrum changes qualitatively when the boundary separating the compressible phase from the ferromagnetic quantized Hall state is crossed. A huge resonant enhancement replaces the strongly suppressed equilibriu...

We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains can be easily tuned between trivial and topological ground state. In the latter, spatial resolved spectroscopy can be used to probe the Majorana fermion end states. Decoupled Majorana bound states ...

The level splitting formulae much discussed in the study of spin tunneling in macroscopic ferromagnetic particles and previously derived only by complicated pseudoparticle methods for the ground state, are derived from those of eigenvalues of periodic equations and extended to excited states. PACS numbers:11.15KC, 73.40GK, 75.60JP, 03.65Db