Easy understanding on Hanle effect No.1 atomic polarization and
... • Atomic (quantum) coherence is non-diagonal elements of
atomic density matrix ρ = ∑ |m> Pm , not the amplitude of |m>!
• If we have complete quantum mechanical description on the whole
system namely atoms and radiation field |radiation field, a ...
... • Atomic (quantum) coherence is non-diagonal elements
Superluminal Quantum Models of the Photon and Electron
... "magnetic electron", "plasmoid ring", "vortex ring", or "helicon ring". Parson’s magneton model for chemical bonding and electron sharing influenced chemist Gilbert N. Lewis (who coined the name “photon” in 1926) to propose chemical bonding rules for atoms. In the model, charge fibers are twisted an ...
... "magnetic electron", "plasmoid ring", "vortex ring", or "helicon ring". Parson’s magneton model for chemical bonding and electron sharing influenced chemist Gilbert N. Lewis (who coined the name “photon” in 1926) to propose chemical bonding rules for atoms. In the model, charge fibers are twisted an ...
Classical harmonic oscillator with quantum energy spectrum
... It is well-known, the quantum systems, including atoms, harmonic oscillator etc., have a discrete set of stationary states with discrete energy levels. The stationary state with the least energy is the ground state; all other stationary states are excited. Being in one of such states, the system ha ...
... It is well-known, the quantum systems, including atoms, harmonic oscillator etc., have a discrete set of stationary states with discrete energy levels. The stationary state with the least energy is the ground state; all other stationary states are excited. Being in one of such states, the system ha ...
The Coulomb-interaction-induced breaking of the Aufbau principle
... There are several propositions how to include external magnetic field Bz into the KL model. The impact of the field on the envelope functions can be taken into account by substituting the canonical momentum p̂ = −i∇ by ~ in Eq.(II A) like e.g. in Ref. 21. Planelles p̂ = −i∇ − A and Jaskólski sugges ...
... There are several propositions how to include external magnetic field Bz into the KL model. The impact of the field on the envelope functions can be taken into account by substituting the canonical momentum p̂ = −i∇ by ~ in Eq.(II A) like e.g. in Ref. 21. Planelles p̂ = −i∇ − A and Jaskólski sugges ...
Part I
... • To a high degree of accuracy diatomic molecules can be described using the rigid rotor – harmonic oscillator approximation • With this approximation, in addition to the translational, electronic, and nuclear energies, the molecule has two additional energies • Rotational (rigid rotor): rotary moti ...
... • To a high degree of accuracy diatomic molecules can be described using the rigid rotor – harmonic oscillator approximation • With this approximation, in addition to the translational, electronic, and nuclear energies, the molecule has two additional energies • Rotational (rigid rotor): rotary moti ...
Many-body theory
... large number of particles. The reason is the equivalence of particles, a genuine quantum effect, which requires the (anti)symmetrization of the wave functions. The resulting wave functions are too complicated for any useful calculation. Another representation of the many particle system, based on th ...
... large number of particles. The reason is the equivalence of particles, a genuine quantum effect, which requires the (anti)symmetrization of the wave functions. The resulting wave functions are too complicated for any useful calculation. Another representation of the many particle system, based on th ...
Trapping neutral particles endowed with a magnetic moment by an
... These are magnetic traps, radiation-pressure traps, and optical dipole traps. In the present paper we analyze a different trap produced by the electromagnetic wave carrying orbital angular momentum. The atomic magnetic moment interacts with the magnetic field of such waves as in standard magnetic tr ...
... These are magnetic traps, radiation-pressure traps, and optical dipole traps. In the present paper we analyze a different trap produced by the electromagnetic wave carrying orbital angular momentum. The atomic magnetic moment interacts with the magnetic field of such waves as in standard magnetic tr ...
A relativistic wave equation with a local kinetic operator and an
... The content of the present work will be developed as outlined in the following. For pedagogical reasons, in order to introduce the main concepts (and techniques) of the present model, we shall first revise in Section 2 the well-known case of the onebody Dirac equation. For a special combination of a ...
... The content of the present work will be developed as outlined in the following. For pedagogical reasons, in order to introduce the main concepts (and techniques) of the present model, we shall first revise in Section 2 the well-known case of the onebody Dirac equation. For a special combination of a ...
Quantum Statistical Mechanics - Physics Department
... The theory of heat, one of the cornerstones of physics, can be approached from two sides, from the world of macroscopic phenomena using some general principles or from the microscopic world of molecules, atoms, elementary particles. A macroscopic approach is used in thermodynamics, while the microsc ...
... The theory of heat, one of the cornerstones of physics, can be approached from two sides, from the world of macroscopic phenomena using some general principles or from the microscopic world of molecules, atoms, elementary particles. A macroscopic approach is used in thermodynamics, while the microsc ...
Creation and Destruction Operators and Coherent States
... Coherent States Coherent states are an important class of states that can be realized by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as clas ...
... Coherent States Coherent states are an important class of states that can be realized by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as clas ...
Realization of an Optomechanical Interface
... data in Fig. 5 is difficult as it would have to account for anharmonic motion, collisions, and evaporation of the atoms. In conclusion, we have realized a hybrid optomechanical system composed of ultracold atoms and a membrane. Our observation of backaction of the atoms onto the membrane and the pre ...
... data in Fig. 5 is difficult as it would have to account for anharmonic motion, collisions, and evaporation of the atoms. In conclusion, we have realized a hybrid optomechanical system composed of ultracold atoms and a membrane. Our observation of backaction of the atoms onto the membrane and the pre ...
Quantum energy gaps and first-order mean-field transitions
... the energy gap at the transition can be obtained. In a nutshell, the reason why quantum annealing is not an efficient strategy for finding the ground state across a first-order transition can be understood from a simple, qualitative argument. Quantum annealing could in principle be more efficient th ...
... the energy gap at the transition can be obtained. In a nutshell, the reason why quantum annealing is not an efficient strategy for finding the ground state across a first-order transition can be understood from a simple, qualitative argument. Quantum annealing could in principle be more efficient th ...
Wednesday, Sept. 27, 2006
... that are not bound tightly • This weaker binding at the surface decreases the effective BE per nucleon (B/A) • Provides an attraction of the surface nucleons towards the core just as the surface tension Wednesday, Sept. 27, 2006 PHYS 3446, Fall 2006 to the liquid Jae Yu ...
... that are not bound tightly • This weaker binding at the surface decreases the effective BE per nucleon (B/A) • Provides an attraction of the surface nucleons towards the core just as the surface tension Wednesday, Sept. 27, 2006 PHYS 3446, Fall 2006 to the liquid Jae Yu ...
14 The Postulates of Quantum mechanics
... and the time-dependent Schrödinger equations becomes i! ...
... and the time-dependent Schrödinger equations becomes i! ...
Resonant X-ray Emission Spectroscopy
... In Figure 1 these spectroscopic processes are shown schematically for a simple case, where the VES consists of a filled valence band and an empty conduction band. In Figure 2 this schematic representation is replaced by the measured data for three different sulphide samples. In the case of XAS, a co ...
... In Figure 1 these spectroscopic processes are shown schematically for a simple case, where the VES consists of a filled valence band and an empty conduction band. In Figure 2 this schematic representation is replaced by the measured data for three different sulphide samples. In the case of XAS, a co ...