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Relativistic Quantum and Classical Mechanics in the Hilbert Space
Relativistic Quantum Classical Mechanics the Hilbert Space
2011/8/18
Abstract: We present a formulation of relativistic classical and quantum mechanics in the Hilbert space with a linkage through the Ehrenfest quantization. We start with the covariant form of the Loren...
We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions,presenting explicit cosmologica...
We apply the nonstandard loop quantum cosmology method to quan-tize a flat FRW cosmological model with a free scalar field and the cosmological constant Λ > 0. Modification of the Hamiltonian in terms...
Less than perfect quantum wavefunctions in momentum-space: How phi(p) senses disturbances in the force
perfect quantum wavefunctions momentum-space disturbances
2010/11/8
We develop a systematic approach to determine the large |p| behavior of the momentum-space wavefunction, phi(p), of a one-dimensional quantum system for wich the position-space wavefunction, psi(x), ...
Rotational Symmetry of Classical Orbits, Arbitrary Quantization of Angular Momentum and the Role of Gauge Field in Two-Dimensional Space
Rotational Symmetry Classical Orbits Arbitrary Quantization Angular Momentum
2010/11/11
We study the quantum-classical correspondence in terms of coherent wave functions of a charged particle in two-dimensional central-scalar-potentials as well as the gauge field of a magnetic flux in t...
Remarks on Space-time and Locality in Everett's Interpretation
quantum mechanics Everett locality branching space-time
2011/9/7
Interpretations that follow Everett's idea that (at some level of description) the universal wave function contains a multiplicity of coexisting realities, usually claim to give a completely local acc...
Phase-space characterization of complexity in quantum many-body dynamics
Phase-space characterization complexity quantum many-body dynamics
2010/10/18
We propose a phase-space Wigner harmonics entropy measure for many-body quantum dynamical
complexity. This measure, which reduces to the well known measure of complexity in classical
systems and whi...
Phase Space Quantum Mechanics
quantum mechanics deformation quantization Hilbert space quantum distribution function
2010/10/21
The paper review and develop the alternative formulation of quantum mechanics known as the phase space quantum mechanics or deformation quantization. It is shown that the quantization naturally arises...
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Pauli graphs Hilbert space dimension Dedekind psi function
2010/10/27
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
Spin kinetic theory - quantum kinetic theory in extended phase space
Spin kinetic phase space quantum kinetic
2010/3/10
The concept of phase space distribution functions and their evolution is used in the case of en enlarged phase space. In particular, we include the intrinsic spin of particles and present a quantum ki...
Bloch space structure of cascade, lambda and vee type of three-level systems and qutrit wave function
SU(3) group Blochequation Three-levelsystem Qutrit
2010/4/9
The cascade, lambda and vee type of three-level systems are shown to be described by three different Hamiltonians in the SU(3) basis. We investigate the Bloch space structure of each configuration by ...
The quantum interest conjecture in (3+1)-dimensional Minkowski space
Quantum inequalities quantum interest conjecture
2010/3/17
The quantum inequalities, and the closely related quantum interest conjecture, impose restrictions on the distribution of the energy density measured by any time-like observer, potentially preventing ...
Quantum electrodynamics with arbitrary charge on a noncommutative space
noncommutative quantum electrodynamics charge
2009/8/14
Using the Seiberg-Witten map, we obtain a quantum electrodynamics on a
noncommutative space, which has arbitrary charge and keep the gauge
invariance to at the leading order in theta. The one-loop d...
Non-Markovian dynamics for a free quantum particle subject to spontaneous collapse in space: general solution and main properties
Non-Markovian dynamics quantum particle subject general solution and main properties
2010/4/8
We analyze the non-Markovian dynamics of a quantum system subject to spontaneous collapse in space. After having proved, under suitable conditions, the separation of the center-of-mass and relative mo...
Three-Hilbert-Space Formulation of Quantum Mechanics
Three-Hilbert-Space Formulation Quantum Mechanics
2010/4/7
In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present c...