On nonlocal complexified Schrödinger equation and emergence of discrete quantum mechanics
From MaRDI portal
Publication:344021
DOI10.1007/s40509-016-0080-zzbMath1352.81027OpenAlexW2467284394MaRDI QIDQ344021
Publication date: 22 November 2016
Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40509-016-0080-z
quantum mechanicsdiscrete nonlocal infinitesimal space-time coordinatesnonlocal complexified backward-forward wave functionnonlocal complexified Schrödinger equation
General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)
Related Items
Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators, On maximal acceleration and quantum acceleratum operator in quantum mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum theory and determinism
- Non-standard non-local-in-time Lagrangians in classical mechanics
- Fractional Schrödinger equation in the presence of the linear potential
- Derivation of nonlinear Schrödinger equation
- Extending Newton's law from nonlocal-in-time kinetic energy
- Euler-Lagrange equation from nonlocal-in-time kinetic energy of nonconservative system
- Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians
- Quantum mechanics in a discrete space-time
- Quantum field theory techniques in graphical enumeration
- Discrete time quantum mechanics
- Complex backward-forward derivative operator in non-local-in-time Lagrangians mechanics
- A general formulation of discrete-time quantum mechanics: Restrictions on the action and the relation of unitarity to the existence theorem for initial-value problems
- Classical and quantum study of the motion of a particle in a gravitational field
- On integrable Doebner - Goldin equations
- Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations
- Space-Time Approach to Non-Relativistic Quantum Mechanics