Why were two theories (Matrix Mechanics and Wave Mechanics
... multiples of the “quantum of energy” peculiar to the oscillator, i.e. the odd multiples of hνo/2. The intervals between the levels, which alone are important for the radiation, are the same in the former theory. It is remarkable that our quantum levels are exactly those of Heisenberg’s theory.” (p. ...
... multiples of the “quantum of energy” peculiar to the oscillator, i.e. the odd multiples of hνo/2. The intervals between the levels, which alone are important for the radiation, are the same in the former theory. It is remarkable that our quantum levels are exactly those of Heisenberg’s theory.” (p. ...
Superluminal Quantum Models of the Photon and Electron
... Parson’s Magneton Model of the Atom and the Electron Alfred Lauck Parson proposed in 1915 that an electron is formed of a helical vortex or circular ring of charged filiments circulating at high speed along a common continuous path in an atom. Also known as the "toroidal ring model","magnetic elect ...
... Parson’s Magneton Model of the Atom and the Electron Alfred Lauck Parson proposed in 1915 that an electron is formed of a helical vortex or circular ring of charged filiments circulating at high speed along a common continuous path in an atom. Also known as the "toroidal ring model","magnetic elect ...
PHY583 - Note 2a - Properties of Nuclei
... Eventually, the repulsive forces between protons cannot be compensated for by the addition of more protons . This occurs when Z = 83. Elements that contain more than 83 protons do not have stable nuclei. ...
... Eventually, the repulsive forces between protons cannot be compensated for by the addition of more protons . This occurs when Z = 83. Elements that contain more than 83 protons do not have stable nuclei. ...
Department of Physics and Astronomy University of Georgia
... A very thin copper wire has been tightly wound into a very tall, thin cylindrical solenoid of height L=1240cm, with N=180,000 circular turns of radius R=6.0cm. An aluminum (Al) wire of length C=50cm and wire diameter d=0.02cm has been bent into a closed, conducting circular loop, encircling the sole ...
... A very thin copper wire has been tightly wound into a very tall, thin cylindrical solenoid of height L=1240cm, with N=180,000 circular turns of radius R=6.0cm. An aluminum (Al) wire of length C=50cm and wire diameter d=0.02cm has been bent into a closed, conducting circular loop, encircling the sole ...
Effective electron-atom interactions and virial coefficients in alkali
... with bound states is only applicable in the low-density limit where the properties of the bound states are not influenced by the surrounding medium. In general, a more consistent approach valid for arbitrary densities should start from the basic Coulomb interaction between the elementary particles, ...
... with bound states is only applicable in the low-density limit where the properties of the bound states are not influenced by the surrounding medium. In general, a more consistent approach valid for arbitrary densities should start from the basic Coulomb interaction between the elementary particles, ...
Summary
... With the realization of coherent, laser-like atoms in the form of Bose-Einstein condensates it has become possible to explore matter-wave amplification, a process in which the number of atoms in a quantum state is amplified due to bosonic stimulation. In previous amplifiers based on superradiant Ray ...
... With the realization of coherent, laser-like atoms in the form of Bose-Einstein condensates it has become possible to explore matter-wave amplification, a process in which the number of atoms in a quantum state is amplified due to bosonic stimulation. In previous amplifiers based on superradiant Ray ...
Physics116_L35
... No phase change on reflection when going from higher to lower index of refraction. 3. A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the wavelength is doubled? A ...
... No phase change on reflection when going from higher to lower index of refraction. 3. A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the wavelength is doubled? A ...
1 Bohr-Sommerfeld Quantization
... degenerate: Ep = E−p . By labeling a state according to its momentum quantum number, we have a unique basis in which to expand any one-dimensional wave function. Thus, we have expressed the wave function as a function of x, t, and labelled it by its (continuous) momentum quantum number p. We did not ...
... degenerate: Ep = E−p . By labeling a state according to its momentum quantum number, we have a unique basis in which to expand any one-dimensional wave function. Thus, we have expressed the wave function as a function of x, t, and labelled it by its (continuous) momentum quantum number p. We did not ...
AH Physics QuantumTheoryTeachersNotes Mary
... aerials and emit electromagnetic radiation. (The word ‘harmonic’ here implies that the overtones are also considered. The energies of the oscillators are then treated according to the principle of equipartition of energy. This principle is not in the Arrangements.) Attempts to obtain theoretically t ...
... aerials and emit electromagnetic radiation. (The word ‘harmonic’ here implies that the overtones are also considered. The energies of the oscillators are then treated according to the principle of equipartition of energy. This principle is not in the Arrangements.) Attempts to obtain theoretically t ...
9. Time-dependent Perturbation Theory
... Finally, it should be noted that conditions can be derived for which the transition rate/photon emission vanishes. These are known as ‘selection rules’ for electric-dipole transitions (the case we have been considering). For the usual situation, in which the atom is spherically symmetric, manipulati ...
... Finally, it should be noted that conditions can be derived for which the transition rate/photon emission vanishes. These are known as ‘selection rules’ for electric-dipole transitions (the case we have been considering). For the usual situation, in which the atom is spherically symmetric, manipulati ...
An attempt to a β rays theory Basic assumptions of the theory (1)
... In attempting to construct a theory of nuclear electrons and of the β rays emission, two well known difficulties are encountered. The first is that the primary β rays are emitted by the nuclei with a continuous velocity distribution. If the energy conservation principle is not abandoned, we must the ...
... In attempting to construct a theory of nuclear electrons and of the β rays emission, two well known difficulties are encountered. The first is that the primary β rays are emitted by the nuclei with a continuous velocity distribution. If the energy conservation principle is not abandoned, we must the ...
Quantum Mechanical Ground State of Hydrogen Obtained from
... electrodynamics, namely, Maxwell’s equations and the relativistic version of Newton’s equation of motion, may describe much, if not all, of atomic physical processes, provided one takes into account the appropriate classical electromagnetic random radiation fields acting on classical charged particl ...
... electrodynamics, namely, Maxwell’s equations and the relativistic version of Newton’s equation of motion, may describe much, if not all, of atomic physical processes, provided one takes into account the appropriate classical electromagnetic random radiation fields acting on classical charged particl ...
Van Wezel_DEF.indd
... in a measurable prediction that could validate or falsify the theory. There is however one recent idea due to Roger Penrose who suggested that general relativity could cause spatial quantum superpositions to become unstable [26, 27]. Based on some very general arguments, Penrose showed that this gra ...
... in a measurable prediction that could validate or falsify the theory. There is however one recent idea due to Roger Penrose who suggested that general relativity could cause spatial quantum superpositions to become unstable [26, 27]. Based on some very general arguments, Penrose showed that this gra ...
The Quantum Jump Approach and Quantum Trajectories, Springer
... simultaneous measurement on an ensemble. This is well adapted to the statistical interpretation of quantum mechanics. With atom traps, however, and with laser cooling it became possible to store a single atom (ion) in a trap for hours or days and to do experiments with it, e.g. study its interaction ...
... simultaneous measurement on an ensemble. This is well adapted to the statistical interpretation of quantum mechanics. With atom traps, however, and with laser cooling it became possible to store a single atom (ion) in a trap for hours or days and to do experiments with it, e.g. study its interaction ...
Syllabus for the course
... Useful information can be obtained on the Web page for the course and MolData, an annotated bibliography of reliable databases on the WWW. The links to these and other pages maintained by the instructor can be found at http://pages.pomona.edu/~wsteinmetz. The schedule of the topics to be covered in ...
... Useful information can be obtained on the Web page for the course and MolData, an annotated bibliography of reliable databases on the WWW. The links to these and other pages maintained by the instructor can be found at http://pages.pomona.edu/~wsteinmetz. The schedule of the topics to be covered in ...
Presentation #8
... In the first line of the above sequence we replaced the operators by the magnitudes of the observables they represent To generate line 2 we multiplied out term by term. The zeros in line 3 appear because pz commutes with both y and x, and z commutes with px and py ...
... In the first line of the above sequence we replaced the operators by the magnitudes of the observables they represent To generate line 2 we multiplied out term by term. The zeros in line 3 appear because pz commutes with both y and x, and z commutes with px and py ...
Chapter 5 Electrons in Atoms
... 1) Aufbau principle - electrons enter the lowest energy first. • causes difficulties b/c overlap of orbitals of different energies – follow diagram! 2) Pauli Exclusion Principle - 2 electrons max per orbital (hotel room) - different spins ...
... 1) Aufbau principle - electrons enter the lowest energy first. • causes difficulties b/c overlap of orbitals of different energies – follow diagram! 2) Pauli Exclusion Principle - 2 electrons max per orbital (hotel room) - different spins ...
Hydrogen atom
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).