The Semiclassical Description of Tunneling in Scattering with Multiple Degrees of Freedom

Abstract

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 semiclassical technique developed in the context of instanton-like transitions in quantum field theory. This latter technique is based on an analytic continuation of the degrees of freedom into a complex phase space, and the simultaneous analytic continuation of the equations of motion into the complex time plane.

33 pages, 8 figures, latex with graphicx

Cited by in corpus (27)

• Semiclassical Study of Baryon and Lepton Number Violation in High-Energy Electroweak Collisions
• Tunneling in quantum cosmology: numerical study of particle creation
• Suppression of baryon number violation in electroweak collisions: Numerical results
• Black hole induced false vacuum decay from first principles
• Vacuum decay in quantum field theory
• Quantum Transparency of Barriers for Structure Particles
• An upper bound on the total cross-section for electroweak baryon number violation
• Dynamical tunneling of bound systems through a potential barrier: complex way to the top
• Wall Crossing Invariants: from quantum mechanics to knots
• Soliton-antisoliton pair production in particle collisions
• Black hole induced false vacuum decay: The role of greybody factors
• Quantum Tunneling and Scattering of a Composite Object: Revisited and Reassessed
• Baryon Number Violating Scatterings in Laboratories
• Complex trajectories in chaotic dynamical tunneling
• Induced tunneling in QFT: soliton creation in collisions of highly energetic particles
• Real-Time Instantons and Suppression of Collision-Induced Tunneling
• Signatures of unstable semiclassical trajectories in tunneling
• Role of Bloch Waves in baryon-number violating processes
• Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory
• Semiclassical S-matrix for black holes
• On the over-barrier reflection in quantum mechanics with multiple degrees of freedom
• Numerical study of multiparticle production in ${\varphi }^4$ theory: comparison with analytic results
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Instanton propagator and instanton induced processes in scalar model
• Long quantum transition times due to unstable semiclassical dynamics
• Theta--instantons in SU(2) Higgs theory
• High-energy limit of collision-induced false vacuum decay