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Singularity of the potential function makes quantum tunneling problem mathematically underdetermined. To circumvent the difficulties it introduced in physics, a potential singularity cutoff is often used, followed by a reverse limit…

量子物理 · 物理学 2021-07-07 A. Zh. Muradyan

What time does a clock tell after quantum tunneling? Predictions and indirect measurements range from superluminal or instantaneous tunneling to finite durations, depending on the specific experiment and the precise definition of the…

量子物理 · 物理学 2024-04-23 Patrik Schach , Enno Giese

Resonant tunnelling is a quantum mechanical process that has long been attracting both scientific and technological attention owing to its intriguing underlying physics and unique applications for high-speed electronics. The materials…

材料科学 · 物理学 2015-06-26 Woo Seok Choi , Sang A. Lee , Jeong Ho You , Suyoun Lee , Ho Nyung Lee

How much time does a wave packet spent in tunneling a barrier? Quantum mechanical calculations result in zero time inside a barrier. In the nineties analogous tunneling experiments with microwaves were carried out confirming quantum…

量子物理 · 物理学 2009-03-17 Guenter Nimtz

In the Hartle-Hawking ``no boundary'' approach to quantum cosmology, a real tunneling geometry is a configuration that represents a transition from a compact Riemannian spacetime to a Lorentzian universe. I complete an earlier proof that in…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

We adapt the semiclassical technique, as used in the context of instanton transitions in quantum field theory, to the description of tunneling transmissions at finite energies through potential barriers by complex quantum mechanical…

量子物理 · 物理学 2007-05-23 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

The longitudinal momentum of the electron at the tunneling exit is a useful quantity to make sense of the tunneling ionization process. It was usually assumed to be zero from a classical argument, but recent experiments show that it must be…

原子物理 · 物理学 2018-12-05 Ruihua Xu , Tao Li , Xu Wang

We present a simple model of composite particle tunnelling through a rectangular potential barrier in presence of magnetic field. The exact numerical solution of the problem is provided and the applicability to real physical situations is…

量子物理 · 物理学 2024-10-22 Bernard Faulend , Jan Dragašević

We analyze the tunneling time problem via the presence time formalism. With this method we reproduce previous results for very long wavepackets and we are able to calculate the tunneling time for general wavepackets of arbitrary shape and…

量子物理 · 物理学 2015-06-02 O. del Barco , M. Ortuño , V. Gasparian

We study tunneling between a localized defect state and a conduction band in the presence of strong electron-electron and electron-phonons interactions. We derive the tunneling rate as a function of the position of the defect energy level…

介观与纳米尺度物理 · 物理学 2007-05-23 D. Mozyrsky , I. Martin , A. Shnirman , M. B. Hastings

We study tunneling in one-dimensional quantum mechanics using the path integral in real time, where solutions of the classical equation of motion live in the complex plane. Analyzing solutions with small (complex) energy, relevant for…

量子物理 · 物理学 2023-09-15 Kfir Blum , Omri Rosner

Classical mechanics is a singular theory in that real-energy classical particles can never enter classically forbidden regions. However, if one regulates classical mechanics by allowing the energy E of a particle to be complex, the particle…

高能物理 - 理论 · 物理学 2014-08-28 Carl M. Bender , Daniel W. Hook

Quantum gravitational tunneling effects are expected to give rise to a number of interesting observable phenomena, including, in particular, the evolution of black holes at the end of their existence or the emergence of the early universe…

广义相对论与量子宇宙学 · 物理学 2024-05-21 Pietro Dona , Hal M. Haggard , Carlo Rovelli , Francesca Vidotto

We propose a quantum mechanical approach to noise in resonant tunneling structures, that can be applied in the whole range of transport regimes, from completely coherent to completely incoherent. In both limiting cases, well known results…

凝聚态物理 · 物理学 2009-10-28 G. Iannaccone , M. Macucci , B. Pellegrini

We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies…

数学物理 · 物理学 2025-06-17 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We study the behavior of the $s$-wave partial cross section $\sigma(k)$, the Wigner-Smith time delay $\tau(k)$, and the trapping probability $P(k)$ as function of the wave number $k$. The $s$-wave central square well is used for…

We theoretically investigate resonant tunneling through S- and U-shaped nanostructured graphene nanoribbons. A rich structure of resonant tunneling peaks are found eminating from different quasi-bound states in the middle region. The…

介观与纳米尺度物理 · 物理学 2015-05-14 Z. Z. Zhang , Z. H. Wu , Kai Chang , F. M. Peeters

We study dynamical tunneling in a near-integrable Hamiltonian with three degrees of freedom. The model Hamiltonian does not have any discrete symmetry. Despite this lack of symmetry we show that the mixing of near-degenerate quantum states…

混沌动力学 · 物理学 2015-06-26 Srihari Keshavamurthy

We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential $V_{r} - iV_{i}$ in space-fractional quantum mechanics. By applying the stationary phase method, we derive a closed-form expression for the…

量子物理 · 物理学 2025-04-08 Mohammad Umar , Vibhav Narayan Singh , Bhabani Prasad Mandal

Using a semiclassical mean field theory, we show that the screening potential exhibits a characteristic radial variation in the tunneling region in sharp contrast to the assumption of the constant shift in all previous works. Also, we show…

核理论 · 物理学 2009-11-07 Sachie Kimura , Noboru Takigawa , Masanori Abe , David M. Brink