tunneling probabilitiesasymptoticHermite polynomialsAiry functionUsing simple methods of asymptotic analysis it is shown that for a quantum harmonic oscillator inn-th energy eigenstate the probability of tunneling into the classically forbidden region obeys an unexpected but simple asymptotic formula: the ...
Quantum tunneling is a quantum mechanical phenomenon in which a particle passes through a potential barrier. The probability of finding a particle inside the potential barrier decreases exponentially, which in turn increases the probability of finding the particle outside the potential24, as if the pa...
Tunneling and thermal disturbance probabilities For tunneling probability (Ptunneling), under the premise of the Born-Oppenheimer approximation, they are calculated based on WKB approximation (Wentzel, 1926; Kramers, 1926; Brillouin, 1926), as following formula (Griffiths, 2005): Ptunneling=Exp[−2...
The calculation of quantum tunneling time, which was based on the transition duration of wave peak from one side of the barrier to the other, was described. The imaginary part of the tunneling time was associated with the energy derivatives of the probability amplitudes, while the real part was...
We formulate and analyze a double-slit proposal for quantum annealing, which involves observing the probability of finding a two-level system (TLS) undergoing evolution from a transverse to a longitudinal field in the ground state at the final time tf. W
In this paper we study the quantum tunneling time in the light-front using the technique of dwell time (or delay time). We introduce this method of calculation considering the delay time for the Schrdinger equation. Then, as we consider the relativistic Klein-Gordon equation, we face a probl...
Based on our fusion probability formula, we explain the difference between experimental cross-sections for α+Ca40 and α+Ca44, which is connected with the theory of coexistence of the spherical and deformed shapes in the ground state for nuclei near the neutron magic shell N=20. To provide ...
A Generalized Tunneling Formula for Quantum Device Modeling The generalized tunneling formula with the simple model for the broadening in the contacts gives surprisingly good results for the majority of RTD structures. It is just as fast as the standard coherent tunneling simulators and much more......
The analytical solution gives a simple formula for the probabilities of excitation numbers at the end of the evolution. If ast → 0+the system is in the ground state,|{\psi }_{0}\rangle, the probability to producenexcitations ast → ∞is given by ...
One of these outcomes is that the success probability SP of quantum teleportation in some intervals is equal to unity or close to unity. It means that the initial state has been successfully transferred from Alice to Bob. Since the TD plays a crucial role in the SP formula and well-known ...