Download Abstract

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Identical particles wikipedia, lookup

Photon polarization wikipedia, lookup

Theoretical and experimental justification for the Schrödinger equation wikipedia, lookup

Aharonov–Bohm effect wikipedia, lookup

Density matrix wikipedia, lookup

Coherent states wikipedia, lookup

Bra–ket notation wikipedia, lookup

Wave packet wikipedia, lookup

Instanton wikipedia, lookup

Measurement in quantum mechanics wikipedia, lookup

Eigenstate thermalization hypothesis wikipedia, lookup

Quantum tomography wikipedia, lookup

Relativistic quantum mechanics wikipedia, lookup

Quantum field theory wikipedia, lookup

Quantum fiction wikipedia, lookup

Quantum entanglement wikipedia, lookup

Bell's theorem wikipedia, lookup

Mathematical formulation of the Standard Model wikipedia, lookup

Quantum gravity wikipedia, lookup

Matrix mechanics wikipedia, lookup

Probability amplitude wikipedia, lookup

Canonical quantum gravity wikipedia, lookup

Quantum mechanics wikipedia, lookup

Quantum tunnelling wikipedia, lookup

Introduction to quantum mechanics wikipedia, lookup

Quantum potential wikipedia, lookup

Quantum vacuum thruster wikipedia, lookup

Quantum machine learning wikipedia, lookup

Renormalization wikipedia, lookup

Richard Feynman wikipedia, lookup

Quantum chaos wikipedia, lookup

Quantum teleportation wikipedia, lookup

Relational approach to quantum physics wikipedia, lookup

Symmetry in quantum mechanics wikipedia, lookup

Quantum key distribution wikipedia, lookup

Uncertainty principle wikipedia, lookup

Scalar field theory wikipedia, lookup

History of quantum field theory wikipedia, lookup

EPR paradox wikipedia, lookup

Double-slit experiment wikipedia, lookup

Quantum state wikipedia, lookup

Old quantum theory wikipedia, lookup

Interpretations of quantum mechanics wikipedia, lookup

Canonical quantization wikipedia, lookup

T-symmetry wikipedia, lookup

Quantum electrodynamics wikipedia, lookup

Quantum logic wikipedia, lookup

Feynman diagram wikipedia, lookup

Hidden variable theory wikipedia, lookup

Propagator wikipedia, lookup

Path integral formulation wikipedia, lookup

Transcript
J. Tolar and G. Chadzitaskos:
Feynman's path integral and mutually unbiased bases
(cca 40 min.)
Abstract:
Our previous work on quantum mechanics in Hilbert spaces of finite
dimensions N is applied to elucidate the deep meaning of Feynman's
path integral pointed out by G. Svetlichny. He speculated that the
secret of the Feynman path integral may lie in the property of
mutual unbiasedness of temporally proximal bases. We confirm the
corresponding property of the short-time propagator by using a
specially devised NxN-approximation of quantum mechanics in
L^2(R) applied to our finite-dimensional analogue of a
free quantum particle.