here
... variable that is constant along trajectories is called a constant of motion. Its value may differ from trajectory to trajectory. The hamiltonian H = T + V is a conserved quantity for conservative systems (i.e. where the force is the negative gradient of a scalar potential). ẋ = ...
... variable that is constant along trajectories is called a constant of motion. Its value may differ from trajectory to trajectory. The hamiltonian H = T + V is a conserved quantity for conservative systems (i.e. where the force is the negative gradient of a scalar potential). ẋ = ...
Superluminal Quantum Models of the Photon and Electron
... 3) Gives the correct electron magnetic moment e / 2m (pre-QED) Predicts the electron’s theoretical Jittery Motion (zitterbewegung): 4) Frequency 2mc 2 / h 5) Amplitude 12 / mc 6) Speed c 7) Predicts the electron’s antiparticle (positron) 8) Predicts an electron with a quantum rotational periodicity ...
... 3) Gives the correct electron magnetic moment e / 2m (pre-QED) Predicts the electron’s theoretical Jittery Motion (zitterbewegung): 4) Frequency 2mc 2 / h 5) Amplitude 12 / mc 6) Speed c 7) Predicts the electron’s antiparticle (positron) 8) Predicts an electron with a quantum rotational periodicity ...
Coherent control of macroscopic quantum states in a single
... almost the pure |0i state. The pulse brings the two charge states into resonance and lets the wavefunction coherently evolve between |0i and |2i during the pulse length Dt. The quantum state at the end of the pulse would be a superposition of the two charge states which depends on Dt. Here, the rise ...
... almost the pure |0i state. The pulse brings the two charge states into resonance and lets the wavefunction coherently evolve between |0i and |2i during the pulse length Dt. The quantum state at the end of the pulse would be a superposition of the two charge states which depends on Dt. Here, the rise ...
Microcanonical Ensemble
... Yes, even though we only discuss classical equilibrium statistical mechanics, a bare minimum of quantum mechanical concepts is required to fix some problems in classical mechanics. We can view this as another evidence that classical mechanics is really just an approximation and quantum mechanics is ...
... Yes, even though we only discuss classical equilibrium statistical mechanics, a bare minimum of quantum mechanical concepts is required to fix some problems in classical mechanics. We can view this as another evidence that classical mechanics is really just an approximation and quantum mechanics is ...
There can be only one
... interact with each other. The excitation of one atom then shifts other atoms out of resonance — this is because the interaction energy has to be added to, or subtracted from, the excitation energy for attractive and repulsive interactions, respectively (Fig. 1a). As a consequence, excitation of mult ...
... interact with each other. The excitation of one atom then shifts other atoms out of resonance — this is because the interaction energy has to be added to, or subtracted from, the excitation energy for attractive and repulsive interactions, respectively (Fig. 1a). As a consequence, excitation of mult ...
Document
... 5. Long decoherence times How many gate operations could be carried out within a fixed decoherence time? “ For the atoms of ultracold gases in optical lattices, Feshbach resonances can be used to increase the collisional interactions and thereby speed up gate operations. However, the ‘unitarity lim ...
... 5. Long decoherence times How many gate operations could be carried out within a fixed decoherence time? “ For the atoms of ultracold gases in optical lattices, Feshbach resonances can be used to increase the collisional interactions and thereby speed up gate operations. However, the ‘unitarity lim ...
The metron model - Max-Planck
... determined with sufficient accuracy to decide through which of the two slits the particle has actually passed. This follows not only from the Heisenberg uncertainty relations, but already from classical physics through the indeterminacy unavoidably induced by any measurement process. However, the po ...
... determined with sufficient accuracy to decide through which of the two slits the particle has actually passed. This follows not only from the Heisenberg uncertainty relations, but already from classical physics through the indeterminacy unavoidably induced by any measurement process. However, the po ...
M.Sc. (Sem. - I) PHYSICS PHY UTN
... a) Find the minimum magnetic field needed for Zeeman effect to be observed in a spectral line of 400 nm wavelength, when a spectrometer whose resolution is 0.010 nm is used. b) For Aluminium Cl = 6.32 × 103 m/s and Ct = 3.1 × 103 m/s. The density of Aluminium is 2.7 × 103 kg/m3 and atomic weight is ...
... a) Find the minimum magnetic field needed for Zeeman effect to be observed in a spectral line of 400 nm wavelength, when a spectrometer whose resolution is 0.010 nm is used. b) For Aluminium Cl = 6.32 × 103 m/s and Ct = 3.1 × 103 m/s. The density of Aluminium is 2.7 × 103 kg/m3 and atomic weight is ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.