Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Tunneling Wave Function and the Inreval of Space-Time

Vitaly Kuyukov

Published Dec 1, 2018• 0 citations
OpenAlex

Related papers

Space-time and universal wave function

Vitaly Kuyukov

Space-time and universal wave function

•Jun 14, 2019•0 citations

The tunneling solutions of the time-dependent Schrödinger equation for a square-potential barrier

Ahmet Elçi, Harold P. Hjalmarson

The exact tunneling solutions of the time-dependent Schrödinger equation with a square-potential barrier are derived using the continuous symmetry group GS for the partial differential equation. The infinitesimal generators and the elements for GS are represented and derived in the jet space. There exist six classes of wave functions. The representative (canonical) wave functions for the classes are labeled by the eigenvalue sets, whose elements arise partially from the reducibility of a Lie subgroup GLS of GS and partially from the separation of variables. Each eigenvalue set provides two or more time scales for the wave function. The ratio of two time scales can act as the duration of an intrinsic clock for the particle motion. The exact solutions of the time-dependent Schrödinger equation presented here can produce tunneling currents that are orders of magnitude larger than those produced by the energy eigenfunctions. The exact solutions show that tunneling current can be quantized under appropriate boundary conditions and tunneling probability can be affected by a transverse acceleration.

Journal of Mathematical Physics•Oct 1, 2009•5 citations

On the reality of space-time geometry and the wavefunction

J. Anandan, Harvey R. Brown

Foundations of Physics•Feb 1, 1995•55 citations

Quantum Mechanical Behaviour, Quantum Tunneling, Higgs Boson , Distorted Space And Time, Schrödinger’s Wave Function, Neuron DNA, Particles (Hypothetical signature Less Particles) And Consciousness A “Syncopated Syncretism And Atrophied Asseveration” Mod

K.N.P. Kumar, B S Kiranagi, Channabasappa Shanthappa Bagewadi

We give a holistic model for the systems mentioned in the foregoing. Most important implication is that Higgs Boson is the one, which warps space and time. Concept of Neuron DNA and signature less particles are introduced. Key Words: Quantum Information, Space warp, Quantum Tunneling, Environmental decoherence, Schrodinger’s wave function, Gravitational lensing, Black holes, Higgs Boson, Consciousness

•Jan 1, 2012•0 citations

Extended space-time and the interpretation of wave functions

Alexander Macfarlane

International Journal of Theoretical Physics•Jan 1, 1982•0 citations

Quantum Theory of Tunneling

Mohsen Razavy

WORLD SCIENTIFIC eBooks•Jun 21, 2013•87 citations
The exact tunneling solutions of the time-dependent Schrödinger equation with a square-potential barrier are derived using the continuous symmetry group GS for the partial differential equation. The infinitesimal generators and the elements for GS are represented and derived in the jet space. There exist six classes of wave functions. The representative (canonical) wave functions for the classes are labeled by the eigenvalue sets, whose elements arise partially from the reducibility of a Lie subgroup GLS of GS and partially from the separation of variables. Each eigenvalue set provides two or more time scales for the wave function. The ratio of two time scales can act as the duration of an intrinsic clock for the particle motion. The exact solutions of the time-dependent Schrödinger equation presented here can produce tunneling currents that are orders of magnitude larger than those produced by the energy eigenfunctions. The exact solutions show that tunneling current can be quantized under appropriate boundary conditions and tunneling probability can be affected by a transverse acceleration.