Chapter Q1 • Introduction to Quantum Mechanics
... sin(kL)= 0 kL=nπ n=1,2,3,… So only certain wave numbers (freq.) will allow the existence of a standing wave. k=n(π/L) or L=n(λ/2) n=1,2,3,… This implies we must fit an exact number of half wavelengths between the fixed ends. ...
... sin(kL)= 0 kL=nπ n=1,2,3,… So only certain wave numbers (freq.) will allow the existence of a standing wave. k=n(π/L) or L=n(λ/2) n=1,2,3,… This implies we must fit an exact number of half wavelengths between the fixed ends. ...
Heisenberg`s Uncertainty Principle
... Heisenberg's Uncertainty Principle The goals of this tutorial are to learn: About the Heisenberg’s uncertainty relation (or uncertainty principle) between position and momentum. How we can qualitatively understand that the uncertainty principle is due to the wave nature of particles discuss re ...
... Heisenberg's Uncertainty Principle The goals of this tutorial are to learn: About the Heisenberg’s uncertainty relation (or uncertainty principle) between position and momentum. How we can qualitatively understand that the uncertainty principle is due to the wave nature of particles discuss re ...
Chapter 5 Wave Mechanics
... it is associated with a single particle, in part because this reflects the development of the point-of-view that the wave function represents the information that we have about a given particle (or system, in general). So suppose we have this ensemble of particles all in the state Ψ(x, t), and we me ...
... it is associated with a single particle, in part because this reflects the development of the point-of-view that the wave function represents the information that we have about a given particle (or system, in general). So suppose we have this ensemble of particles all in the state Ψ(x, t), and we me ...
Dark Z boson and Parity Violation
... Dark Photon bounds (APEX, MAMI, etc) apply to Dark Z as well, in most parameter space of interest. (Around the bounds, |ε| >> |εZ|, where [Dark Z coupling] ≈ [Dark Photon coupling].) In addition, since Dark Z has “axial coupling”, it implies new features that Dark Photon does not show. (i) Parity Vi ...
... Dark Photon bounds (APEX, MAMI, etc) apply to Dark Z as well, in most parameter space of interest. (Around the bounds, |ε| >> |εZ|, where [Dark Z coupling] ≈ [Dark Photon coupling].) In addition, since Dark Z has “axial coupling”, it implies new features that Dark Photon does not show. (i) Parity Vi ...
Document
... got the renowned Wolf Price 2010 for their work on entanglement.5 With their experiments they question established physical paradigms and theory constructions, especially TSR, a theory which is also generally accepted and empirically verified. For example the combination of Quantum Theory with TSR a ...
... got the renowned Wolf Price 2010 for their work on entanglement.5 With their experiments they question established physical paradigms and theory constructions, especially TSR, a theory which is also generally accepted and empirically verified. For example the combination of Quantum Theory with TSR a ...
An amusing analogy: modelling quantum
... could exist (or if they were stable only at a microscopic scale), this ‘quantum’ behaviours would disappear at the macroscopic level. So, even with its limitation, we think the present model is worth noticing as part of a reflection about the ‘mysteries, puzzles and paradoxes in quantum mechanics’. ...
... could exist (or if they were stable only at a microscopic scale), this ‘quantum’ behaviours would disappear at the macroscopic level. So, even with its limitation, we think the present model is worth noticing as part of a reflection about the ‘mysteries, puzzles and paradoxes in quantum mechanics’. ...
Linear optical controlled-NOT gate in the coincidence basis
... Timing errors. Correct gate operation depends on indistinguishability of the paths taken by the two photons through the network. This means that they must arrive simultaneously at the central beam splitter to an accuracy of a fraction of their coherence length. Photon coherence length in down-conver ...
... Timing errors. Correct gate operation depends on indistinguishability of the paths taken by the two photons through the network. This means that they must arrive simultaneously at the central beam splitter to an accuracy of a fraction of their coherence length. Photon coherence length in down-conver ...
Historical Review of Quantum Mechanics
... Where are the electrons ? Rutherford planetary model failure to be consistent with the classical electrodynamics was also due to: As the radius r of an electron reduces with time its speed should increase. This means that the frequency of the supposed emitted light (due to electron acceleration) sho ...
... Where are the electrons ? Rutherford planetary model failure to be consistent with the classical electrodynamics was also due to: As the radius r of an electron reduces with time its speed should increase. This means that the frequency of the supposed emitted light (due to electron acceleration) sho ...
A Suggested Interpretation of the Quantum Theory in Terms of
... the apparatus coordinate, y. As in the case of measurement of Q, we readily show that the precise value of p that comes out of this experiment cannot be predicted or controlled and that the probability of a given value of p is equal to a„, . This is, however, just what is obtained in the usual inter ...
... the apparatus coordinate, y. As in the case of measurement of Q, we readily show that the precise value of p that comes out of this experiment cannot be predicted or controlled and that the probability of a given value of p is equal to a„, . This is, however, just what is obtained in the usual inter ...
Elementary Particle Mixing for Maximum Channel Capacity in Measured Decays
... In recent years the physics of the implied ensemble has been worked out by quantum information theorists. Channel capacity has been defined as a measure of the number of accessibly distinguishable classical states, and shown to be computable using the Holevo bound [3, 4]. In this paper, we adopt the ...
... In recent years the physics of the implied ensemble has been worked out by quantum information theorists. Channel capacity has been defined as a measure of the number of accessibly distinguishable classical states, and shown to be computable using the Holevo bound [3, 4]. In this paper, we adopt the ...
Slide 1
... Alice possesses path-spin entangled state, and another particle in spin up state After CNOT operation: Particle “1” is sent to Bob. His CNOT: Particle “2” is sent to Charlie. Bob uses a 50-50 beam splitter: SG1 & SG2 are placed using which the qubit “s” undergoes the transformation: Depending upon t ...
... Alice possesses path-spin entangled state, and another particle in spin up state After CNOT operation: Particle “1” is sent to Bob. His CNOT: Particle “2” is sent to Charlie. Bob uses a 50-50 beam splitter: SG1 & SG2 are placed using which the qubit “s” undergoes the transformation: Depending upon t ...
Power Points (Chapter 30)
... 30-5 The de Broglie Hypothesis and WaveParticle Duality This is even true if we have a particle beam so weak that only one particle is present at a time – we still see the diffraction pattern produced by constructive and destructive interference. Also, as the diffraction pattern builds, we cannot p ...
... 30-5 The de Broglie Hypothesis and WaveParticle Duality This is even true if we have a particle beam so weak that only one particle is present at a time – we still see the diffraction pattern produced by constructive and destructive interference. Also, as the diffraction pattern builds, we cannot p ...
PDF
... wavelengths—is injected into and extracted from the fibre using a wavelengthdivision multiplexer (WDM MUX) and a wavelength-division demultiplexer (WDM DEMUX), respectively. Not shown is the final polarizing beam splitter for combining the two signal-beam outputs, cf figure 2(b). A similar overall a ...
... wavelengths—is injected into and extracted from the fibre using a wavelengthdivision multiplexer (WDM MUX) and a wavelength-division demultiplexer (WDM DEMUX), respectively. Not shown is the final polarizing beam splitter for combining the two signal-beam outputs, cf figure 2(b). A similar overall a ...
The strange link between the human mind and quantum physics
... The American physicist Richard Feynman said this about the notorious puzzles and paradoxes of quantum mechanics, the theory physicists use to describe the tiniest objects in the Universe. But he might as well have been talking about the equally knotty problem of consciousness. Some scientists think ...
... The American physicist Richard Feynman said this about the notorious puzzles and paradoxes of quantum mechanics, the theory physicists use to describe the tiniest objects in the Universe. But he might as well have been talking about the equally knotty problem of consciousness. Some scientists think ...
CHAPTER 16: Quantum Mechanics and the Hydrogen Atom
... distance of electrons from the nucleus (& the size of the orbital). 3s larger than 2s. • Ψnlm has l angular nodes and n-l-1 radial nodes (total of n-1 nodes) • Only for s orbitals does Ψnlm remain nonzero as r→0. Only s orbitals “penetrate to the nucleus” • Note: orbitals are only rigorous for H ato ...
... distance of electrons from the nucleus (& the size of the orbital). 3s larger than 2s. • Ψnlm has l angular nodes and n-l-1 radial nodes (total of n-1 nodes) • Only for s orbitals does Ψnlm remain nonzero as r→0. Only s orbitals “penetrate to the nucleus” • Note: orbitals are only rigorous for H ato ...
Interference of Bose#Einstein Condensates†
... The nature of quantum gases has been of interest to physicists and chemists since the beginning of quantum mechanics.1 Interference of matter waves in such systems can used to explore their nature.2-13 In the first interference experiment on Bose-Einstein condensates2 a barrier potential was adiabat ...
... The nature of quantum gases has been of interest to physicists and chemists since the beginning of quantum mechanics.1 Interference of matter waves in such systems can used to explore their nature.2-13 In the first interference experiment on Bose-Einstein condensates2 a barrier potential was adiabat ...
Full paper
... have been examined [4]. Work on handedness of chiral molecules may also be considered relevant to this topic [5]. Microscopic, mechanical oscillators have been extensively discussed as well [6,7], and experiments are now entering the regime where quantum effects become observable [8]. In this paper, ...
... have been examined [4]. Work on handedness of chiral molecules may also be considered relevant to this topic [5]. Microscopic, mechanical oscillators have been extensively discussed as well [6,7], and experiments are now entering the regime where quantum effects become observable [8]. In this paper, ...
Feynman`s formulation of Quantum mechanics
... formulation of quantum mechanics. This approach is an extension of the notion of classical action. In classical mechanics, we can define the action as an integral of the Lagrangian, a function which “summarizes the dynamics of a system” [5]. The classical trajectory of a particle (or any physical sy ...
... formulation of quantum mechanics. This approach is an extension of the notion of classical action. In classical mechanics, we can define the action as an integral of the Lagrangian, a function which “summarizes the dynamics of a system” [5]. The classical trajectory of a particle (or any physical sy ...