1.5. Angular momentum operators
... Discussion of the solution: radius of the atom In Bohr’s atomic theory the radius of the H-atom is a trivial concept: the atom ends at the orbit where the electron is situated. In case of the 1s orbital the radius is 1 bohr. But how this concept can be defined in case of quantum mechanics? The probl ...
... Discussion of the solution: radius of the atom In Bohr’s atomic theory the radius of the H-atom is a trivial concept: the atom ends at the orbit where the electron is situated. In case of the 1s orbital the radius is 1 bohr. But how this concept can be defined in case of quantum mechanics? The probl ...
De Broglie Wavelets versus Schrodinger Wave Functions
... This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, c ...
... This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, c ...
Lecture 2: Bogoliubov theory of a dilute Bose gas Abstract
... state is simply obtained by putting all bosons in the lowest energy single-particle state. If the number of bosons is taken to be N, then the ground state is |N, 0, · · · i with energy Nε0 . This straightforward observation underlies the phenomenon of Bose-Einstein condensation: A finite or macrosco ...
... state is simply obtained by putting all bosons in the lowest energy single-particle state. If the number of bosons is taken to be N, then the ground state is |N, 0, · · · i with energy Nε0 . This straightforward observation underlies the phenomenon of Bose-Einstein condensation: A finite or macrosco ...
Chapter 4: Symmetries
... an algebra, it has a unit element and an inverse for most elements A∗ → A∗ . It can act as any of the above structures: It is an algebra. It has a subgroup A∗ . The subgroup may contain Lie groups. A Lie algebra can be realised by the map [a, b] = a · b − b · a which automatically satisfies the Jaco ...
... an algebra, it has a unit element and an inverse for most elements A∗ → A∗ . It can act as any of the above structures: It is an algebra. It has a subgroup A∗ . The subgroup may contain Lie groups. A Lie algebra can be realised by the map [a, b] = a · b − b · a which automatically satisfies the Jaco ...
Quantum Numbers
... Intro Lecture – Quantum numbers (Quantised Attributes – subject to conservation laws and hence related to Symmetries) ...
... Intro Lecture – Quantum numbers (Quantised Attributes – subject to conservation laws and hence related to Symmetries) ...
Visualizing the Difference Between a Superposition and a Mixture
... The obvious difference between a superposition and a mixture is the absence of off-diagonal elements, ϕ1 ( x) ϕ2 ( x') ϕ2 ( x) ϕ1 ( x'), in the mixed state. This indicates the mixture is in a definite but unknown state; it is an example of classical ignorance. An equivalent way to describe the ...
... The obvious difference between a superposition and a mixture is the absence of off-diagonal elements, ϕ1 ( x) ϕ2 ( x') ϕ2 ( x) ϕ1 ( x'), in the mixed state. This indicates the mixture is in a definite but unknown state; it is an example of classical ignorance. An equivalent way to describe the ...
Quantum field theory and Green`s function
... to specify which particle is in which quantum state. For example, yi r j means the particle number j is in the quantum state yi . This procedure is natural for distinguishable particles, where we do know which particle is in a particular quantum state. However, for indistinguishable particles, we ...
... to specify which particle is in which quantum state. For example, yi r j means the particle number j is in the quantum state yi . This procedure is natural for distinguishable particles, where we do know which particle is in a particular quantum state. However, for indistinguishable particles, we ...
Relativistic Description of Two- and Three
... for generating electromagnetic currents to calculate form factors as well as a discussion of cluster properties of the S matrix in point form. 20. H. Krebs (Bonn Univ. and Forschungszentrum Jlich, Germany): Modern Theory of Nuclear Forces Chiral effective field theory allows for a systematic and mo ...
... for generating electromagnetic currents to calculate form factors as well as a discussion of cluster properties of the S matrix in point form. 20. H. Krebs (Bonn Univ. and Forschungszentrum Jlich, Germany): Modern Theory of Nuclear Forces Chiral effective field theory allows for a systematic and mo ...
A short course on Quantum Mechanics and its Geometry
... the ”quantization condition” reads as: I pj dqj = nj h , n ∈ N , j = 1, · · · , N ...
... the ”quantization condition” reads as: I pj dqj = nj h , n ∈ N , j = 1, · · · , N ...