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Quantum tunneling through an almost classical potential barrier can be strongly enhanced by a nonstationary field so that the penetration through the barrier becomes not exponentially small. This constitutes an extremely unusual phenomenon…

Quantum Physics · Physics 2007-05-23 B. Ivlev

We discover that quantum dynamical tunneling, occurring between phase space regions in a classically forbidden way, can break conserved quantities in pseudointegrable systems. We rigorously prove that a conserved quantity in a class of…

Chaotic Dynamics · Physics 2024-05-21 Lingchii Kong , Zongping Gong , Biao Wu

We consider the tunneling of a wave packet through a potential barrier which is coupled to a nonintegrable classical system and study the interplay of classical chaos and dissipation in the tunneling dynamics. We show that chaos-assisted…

chao-dyn · Physics 2009-10-31 Bidhan Chandra Bag , Bikash Chandra Gupta , Debshankar Ray

The energy of a quantum particle cannot be determined exactly unless there is an infinite amount of time in which to perform the measurement. This paper considers the possibility that $\Delta E$, the uncertainty in the energy, may be…

Mathematical Physics · Physics 2015-05-13 Tanwa Arpornthip , Carl M. Bender

This paper extends the Bohr-Sommerfeld quantization of the spherical pendulum to a full quantum theory. This the first application of geometric quantization to a classical system with monodromy.

Symplectic Geometry · Mathematics 2016-03-04 Richard Cushman , Jedrzej Sniatycki

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

Motivated by cosmological examples we study quantum field theoretical tunnelling from an initial state where the "classical field", i.e. the vacuum expectation value of the field operator is spatially homogeneous but performing a…

High Energy Physics - Phenomenology · Physics 2017-09-13 Luc Darmé , Joerg Jaeckel , Marek Lewicki

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

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…

Nuclear Theory · Physics 2009-11-07 Sachie Kimura , Noboru Takigawa , Masanori Abe , David M. Brink

We describe a new phenomenon in the study of the real-time path integral, where complex classical paths hit singularities of the potential and need to be analytically continued beyond the space for which they solve the boundary value…

Quantum Physics · Physics 2023-09-25 Job Feldbrugge , Dylan L. Jow , Ue-Li Pen

The phenomenon of quantum tunneling remains a fascinating and enigmatic one, defying classical notions of particle behavior. This paper presents a novel theoretical investigation of the tunneling phenomenon, from the viewpoint of Hartman…

Quantum Physics · Physics 2025-12-17 Massimiliano Sassoli de Bianchi

We study the transmission through single and double ferromagnetic barriers on the surface of a topological insulator. By adjusting the gate voltage and magnetization oreintation, the ferromagnetic barrier can be tuned into various…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 Jinhua Gao , Wei-Qiang Chen , Xiao-Yong Feng , X. C. Xie , Fu-Chun Zhang

Recent theoretical work has concentrated on calculating the Casimir effect in curved spacetime. In this paper we outline the forward problem of metrical variation due to the Casimir effect for spherical geometries. We consider a scalar…

General Physics · Physics 2007-05-23 James R. Claycomb , Rambis K. Chu

The energy spectrum of graphene sheet with a single barrier structure having a time periodic oscillating height and subjected to magnetic field is analyzed. The corresponding transmission is studied as function of the obtained energy and…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Ahmed Jellal , Miloud Mekkaoui , El Bouazzaoui Choubabi , Hocine Bahlouli

Spin-dependent tunneling through a symmetric semiconductor barrier is studied including the k^3 Dresselhaus effect. The spin-dependent transmission of electron can be obtained analytically. By comparing with previous work(Phys. Rev. B 67.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. G. Wang , Wen Yang , Kai Chang

It has been shown that tunneling of spin-polarized electrons through a semiconductor barrier is accompanied by generation of an electric current in the plane of the interfaces. The direction of this interface current is determined by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. A. Tarasenko , V. I. Perel' , I. N. Yassievich

This paper reports a numerical study of complex classical trajectories of a particle in an elliptic potential. This study of doubly-periodic potentials is a natural sequel to earlier work on complex classical trajectories in trigonometric…

High Energy Physics - Theory · Physics 2010-05-12 Carl M. Bender , Daniel W. Hook , Karta Singh Kooner

We study the dynamics of the classical and quantum mechanical scattering of a wave packet from an oscillating barrier. Our main focus is on the dependence of the transmission coefficient on the initial energy of the wave packet for a wide…

Chaotic Dynamics · Physics 2015-05-20 P. K. Papachristou , E. Katifori , F. K. Diakonos , V. Constantoudis , E. Mavrommatis

The nature of single particle classical phase space trajectories in Rindler space have been studied. It has been shown that only a small portion of the phase space is accessible to the particles, whereas the major part of the phase space…

General Relativity and Quantum Cosmology · Physics 2016-08-19 Soma Mitra , Somenath Chakrabarty

In the usual quantum tunneling, a low-energy quantum particle penetrates across a physical barrier of higher potential energy, by traversing a classically forbidden region, and finally escapes into another region. In an analogous scenario,…

Quantum Physics · Physics 2025-08-11 V. R. Krithika , M. S. Santhanam , T. S. Mahesh