Lagrangian description of Heisenberg and Landau-von Neumann equations of
motion
- URL: http://arxiv.org/abs/2005.01876v1
- Date: Mon, 4 May 2020 22:46:37 GMT
- Title: Lagrangian description of Heisenberg and Landau-von Neumann equations of
motion
- Authors: Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo, Luca
Schiavone and Alessandro Zampini
- Abstract summary: An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of quantum states which are isospectral with respect to a fixed reference quantum state.
- Score: 55.41644538483948
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: An explicit Lagrangian description is given for the Heisenberg equation on
the algebra of operators of a quantum system, and for the Landau-von Neumann
equation on the manifold of quantum states which are isospectral with respect
to a fixed reference quantum state.
Related papers
- On the Liouville-von Neumann equation for unbounded Hamiltonians [44.99833362998488]
We present and discuss a characterization of the domain of the Liouville superoperator originally due to M. Courbage.
We also provide, with explicit proofs, some domains of essential self-adjointness (cores) of the Liouvillian.
arXiv Detail & Related papers (2024-08-09T10:13:35Z) - A Theory of Quantum Jumps [44.99833362998488]
We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field.
Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
arXiv Detail & Related papers (2024-04-16T11:00:46Z) - Embezzling entanglement from quantum fields [41.94295877935867]
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system.
We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
arXiv Detail & Related papers (2024-01-14T13:58:32Z) - Equivalence Principle for Quantum Mechanics in the Heisenberg Picture [0.0]
We present an exact quantum observable analog of the weak equivalence principle for a relativistic' quantum particle.
The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture.
arXiv Detail & Related papers (2023-09-05T06:39:01Z) - Matter relative to quantum hypersurfaces [44.99833362998488]
We extend the Page-Wootters formalism to quantum field theory.
By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
arXiv Detail & Related papers (2023-08-24T16:39:00Z) - Dispersion chain of quantum mechanics equations [0.0]
The paper considers the construction of a new chain of equations of quantum mechanics of high kinematical values.
The proposed approach can be applied to consideration of classical and quantum systems with radiation.
arXiv Detail & Related papers (2022-09-28T12:58:19Z) - Quantum Liouvillian exceptional and diabolical points for bosonic fields
with quadratic Hamiltonians: The Heisenberg-Langevin equation approach [0.0]
Equivalent approaches to determine eigenfrequencies of the Liouvillians of open quantum systems are discussed.
A simple damped two-level atom is analyzed to demonstrate the equivalence of both approaches.
The presented approach paves the general way to a detailed analysis of quantum exceptional and diabolical points in infinitely dimensional open quantum systems.
arXiv Detail & Related papers (2022-06-29T16:16:01Z) - The foundations of quantum theory and its possible generalizations [0.0]
Possible generalizations of quantum theory permitting to describe in a unique way the development of the quantum system and the measurement process are discussed.
The application of tachyonic field to overcome divergences arising in this equation is analyzed.
arXiv Detail & Related papers (2021-03-09T11:44:48Z) - The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events.
A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z) - Decoherence and the puzzle of quantum Brownian motion in a gas [0.0]
The motion of macroscopic objects can not, under typical conditions, follow the Schr"odinger equation.
What is the quantum counterpart of the classical Brownian motion in a gas?
An open-end discussion of the quantum linear Boltzmann and quantum Fokker-Planck equations.
arXiv Detail & Related papers (2020-10-07T17:47:58Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.