Exponential Operator Algebra
... In fact, the ground state of a simple harmonic oscillator is a minimum uncertainty state. This is not too surprising—it’s just a localized wave packet centered at the origin. The system is as close to rest as possible, having only zero-point motion. What is surprising is that there are excited state ...
... In fact, the ground state of a simple harmonic oscillator is a minimum uncertainty state. This is not too surprising—it’s just a localized wave packet centered at the origin. The system is as close to rest as possible, having only zero-point motion. What is surprising is that there are excited state ...
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... 2. The "boundary" of the universe at time = 0 (the "Big Bang") of classical cosmology The Penrose-Hawking Singularity Theorem - proved that in all cosmological models based on General Relativity, a "singularity" at time = 0 is inevitable - "singularity" at time = 0: the fabric of space and time is u ...
... 2. The "boundary" of the universe at time = 0 (the "Big Bang") of classical cosmology The Penrose-Hawking Singularity Theorem - proved that in all cosmological models based on General Relativity, a "singularity" at time = 0 is inevitable - "singularity" at time = 0: the fabric of space and time is u ...
Macroscopicity of Mechanical Quantum Superposition States
... than the size of the interfering object, when only a fraction of its mass contributes to its center-of-mass coherence time, as given by Eq. (5). The latter also holds if the object is larger than the path separation (dash-dotted curve). For smaller values of @=q the slope is mainly determined by th ...
... than the size of the interfering object, when only a fraction of its mass contributes to its center-of-mass coherence time, as given by Eq. (5). The latter also holds if the object is larger than the path separation (dash-dotted curve). For smaller values of @=q the slope is mainly determined by th ...
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 ...
A straightforward way to determine relative intensities of spin
... 1nuclear spins for each of t h e n equivalent atoms and evaluating relative intensities by counting the number of comhinations that vield the same net suin. One wav- of eeneratine all such possible spin states is t o k i t e the set of nuclear spins as a ~olvnomialand then raise the ~olvnomialto a D ...
... 1nuclear spins for each of t h e n equivalent atoms and evaluating relative intensities by counting the number of comhinations that vield the same net suin. One wav- of eeneratine all such possible spin states is t o k i t e the set of nuclear spins as a ~olvnomialand then raise the ~olvnomialto a D ...
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... phase of the wavefunction] at one space-time point, one is then not free to make any choices at other space-time points. It seems that this is not consistent with the localized field concept that underlies the usual physical theories. In the present paper we wish to explore the possibility of requir ...
... phase of the wavefunction] at one space-time point, one is then not free to make any choices at other space-time points. It seems that this is not consistent with the localized field concept that underlies the usual physical theories. In the present paper we wish to explore the possibility of requir ...
Pdf - Text of NPTEL IIT Video Lectures
... We can the simplification of the stage using the expression for the Fermi energy is… So using this, we finally arrive at the expression for the magnetization in the form. And therefore, the susceptibility is just M by B. So this susceptibility turns out to be… And this is known as the Pauli paramagn ...
... We can the simplification of the stage using the expression for the Fermi energy is… So using this, we finally arrive at the expression for the magnetization in the form. And therefore, the susceptibility is just M by B. So this susceptibility turns out to be… And this is known as the Pauli paramagn ...
Rate equations for coagulation beyond the mean field approximation
... dynamics: express this sequence of transitions as a path integral; manipulate; gives SDE. ...
... dynamics: express this sequence of transitions as a path integral; manipulate; gives SDE. ...
The beauty of string theory - Institute for Advanced Study
... completed his greatest and most surprising achievement: the theory of gravity known as general relativity. According to general relativity, space-time is curved, and the curvature is created by matter. When planets travel in elliptical orbits around the Sun, for example, they are merely seeking the ...
... completed his greatest and most surprising achievement: the theory of gravity known as general relativity. According to general relativity, space-time is curved, and the curvature is created by matter. When planets travel in elliptical orbits around the Sun, for example, they are merely seeking the ...
Space and Time in Computation and Discrete Physics
... and computation. A step can be regarded as a distinction, coupled with the action of crossing from one side of that distinction to the other. By taking such an elementary consideration as our theme, we are able to bring together a very wide range of ideas and techniques under one roof and make conne ...
... and computation. A step can be regarded as a distinction, coupled with the action of crossing from one side of that distinction to the other. By taking such an elementary consideration as our theme, we are able to bring together a very wide range of ideas and techniques under one roof and make conne ...