Handout: Particle motion - Harvard
... where α, x0 , y0 , z0 , together with vk and v⊥ are determined from initial conditions. The motion of the particle is thus a superposition of motion along B at constant velocity vk and circular motion around the guiding center, Rg = (x0 , y0 , z0 + vk t) at a constant velocity v⊥ . The radius of the ...
... where α, x0 , y0 , z0 , together with vk and v⊥ are determined from initial conditions. The motion of the particle is thus a superposition of motion along B at constant velocity vk and circular motion around the guiding center, Rg = (x0 , y0 , z0 + vk t) at a constant velocity v⊥ . The radius of the ...
Scaling investigation for the dynamics of charged particles in an
... e defines the nonlinear strength while ps defines the time that the particle spends in the magnetic region. The dynamics can be described by a two-dimensional nonlinear mapping. Depending on both e and s, the phase space presents either regular or mixed structure. For e ¼ 0, the nonlinear term vanis ...
... e defines the nonlinear strength while ps defines the time that the particle spends in the magnetic region. The dynamics can be described by a two-dimensional nonlinear mapping. Depending on both e and s, the phase space presents either regular or mixed structure. For e ¼ 0, the nonlinear term vanis ...
Work-Energy Theorem and Conservation of Energy
... are final and initial. In the right hand side of the equation, W is the work done by frictional or other external force. The kinetic and potential energies are expressed as ½ (mass) × (velocity) 2 and (mass) ×(gravitational accel.) × (height), respectively. The work is (force) × (distance) which the ...
... are final and initial. In the right hand side of the equation, W is the work done by frictional or other external force. The kinetic and potential energies are expressed as ½ (mass) × (velocity) 2 and (mass) ×(gravitational accel.) × (height), respectively. The work is (force) × (distance) which the ...
A Review and Prospects of Quantum Teleportation
... Quantum teleportation is based on the well-known concept of quantum entanglement. The word “entanglement” was used by Erwin Schrödinger in 1935 in a three-part paper [8]-[11]. Einstein, Podolsky and Rosen prompted these papers in their paper [12] that raised fundamental questions about quantum mecha ...
... Quantum teleportation is based on the well-known concept of quantum entanglement. The word “entanglement” was used by Erwin Schrödinger in 1935 in a three-part paper [8]-[11]. Einstein, Podolsky and Rosen prompted these papers in their paper [12] that raised fundamental questions about quantum mecha ...
+ - PE E - Purdue Physics
... • Electrostatic Potential Energy both positive and negative (depending on the sign of charges) Bottom Line: The situation for electrostatics is similar to gravity, except you can’t see the hills and valleys. Need an imagination! ...
... • Electrostatic Potential Energy both positive and negative (depending on the sign of charges) Bottom Line: The situation for electrostatics is similar to gravity, except you can’t see the hills and valleys. Need an imagination! ...
Phys. Rev. Lett. 104, 255303
... k is the momentum referred to the doubly reduced BZ B, q kx , ky < q . The energy associated with these singleparticle states is ðkÞ, independent of ‘. (The case ¼ 13 is shown by the dashed line in Fig. 1.) Written using the operators ak‘ , the kinetic term in H is diagonal, while the in ...
... k is the momentum referred to the doubly reduced BZ B, q kx , ky < q . The energy associated with these singleparticle states is ðkÞ, independent of ‘. (The case ¼ 13 is shown by the dashed line in Fig. 1.) Written using the operators ak‘ , the kinetic term in H is diagonal, while the in ...
The Kinetic Theory of Gases (1)
... What was not clear in the early 19th century was the nature of the attractive or repulsive forces acting between atoms or molecules. Important clues were provided by the great experiments of James Joule. One of his experiments concerned the expansion of gases from a smaller to a large volume (Fig. 4 ...
... What was not clear in the early 19th century was the nature of the attractive or repulsive forces acting between atoms or molecules. Important clues were provided by the great experiments of James Joule. One of his experiments concerned the expansion of gases from a smaller to a large volume (Fig. 4 ...
Metals without Electrons - Condensed Matter Theory group
... charge, e, is fundamental in the sense that the electron cannot be split and that there are no other particles have been isolated with a smaller charge. However, this does not mean that there are no physical objects with a fraction of an electronic charge. Fractional charge does appear in the contex ...
... charge, e, is fundamental in the sense that the electron cannot be split and that there are no other particles have been isolated with a smaller charge. However, this does not mean that there are no physical objects with a fraction of an electronic charge. Fractional charge does appear in the contex ...
Lecture 21 - PhysicsGivesYouWings
... 2. Choose the initial time to be when all velocities are known. This will help you calculate initial momenta. 3. Use to solve for the final momentum. 4. Use to solve for the final velocity. M. Afshar ...
... 2. Choose the initial time to be when all velocities are known. This will help you calculate initial momenta. 3. Use to solve for the final momentum. 4. Use to solve for the final velocity. M. Afshar ...
Quantum Mechanics (Part II)
... Coherence and superposition: one of the most distinctive features of quantum mechanics is that it is linear: the superposition of two quantum states is also a possible quantum state, and it is probability amplitudes, not probabilities themselves, that are added together, leading to the possibility ...
... Coherence and superposition: one of the most distinctive features of quantum mechanics is that it is linear: the superposition of two quantum states is also a possible quantum state, and it is probability amplitudes, not probabilities themselves, that are added together, leading to the possibility ...
