Handout
... In both the classical and the quantum settings, we must be able to represent the composite of two systems. Here we show that the two notions of composition correspond to a common notion in the framework of ∗-algebras. System Q Given two state spaces H1 and H2 , we construct the composite system as t ...
... In both the classical and the quantum settings, we must be able to represent the composite of two systems. Here we show that the two notions of composition correspond to a common notion in the framework of ∗-algebras. System Q Given two state spaces H1 and H2 , we construct the composite system as t ...
Are Quantum States Exponentially Long Vectors?
... arbitrarily hard to prepare; for example, it might have the form 2−n/2 x |xi |f (x)i for an arbitrarily hard function f . We can imagine that |ψn i is given to us by a benevolent wizard; the only downside is that n the wizard doesn’t know which input x ∈ {0, 1} we’re going to get, and therefore need ...
... arbitrarily hard to prepare; for example, it might have the form 2−n/2 x |xi |f (x)i for an arbitrarily hard function f . We can imagine that |ψn i is given to us by a benevolent wizard; the only downside is that n the wizard doesn’t know which input x ∈ {0, 1} we’re going to get, and therefore need ...
Limitations on the superposition principle: superselection
... certain observables like the mass of a particle as parameters rather than as full-fledged operators in non-relativistic quantum mechanics (NRQ). It is somewhat peculiar that despite the additional insight into the subtleties of quantum theory that might be offered by superselection rules and of the ...
... certain observables like the mass of a particle as parameters rather than as full-fledged operators in non-relativistic quantum mechanics (NRQ). It is somewhat peculiar that despite the additional insight into the subtleties of quantum theory that might be offered by superselection rules and of the ...
A critical analysis of the hydrino model
... Hydrinos are alleged lower-energetic electronic states of the hydrogen atom. These states are predicted within a new deterministic theory of quantum mechanics called the “grand unified theory of classical quantum mechanics” (CQM) [23]. In this theory the sheath electrons of an atom are orbiting the ...
... Hydrinos are alleged lower-energetic electronic states of the hydrogen atom. These states are predicted within a new deterministic theory of quantum mechanics called the “grand unified theory of classical quantum mechanics” (CQM) [23]. In this theory the sheath electrons of an atom are orbiting the ...
Phys. Rev. Lett. 103, 265302
... in the XY universality class along its continuous segment rather than Ising. Landau theory.—The phase diagram in Fig. 2 displays an elaborate network of quantum critical points and phase transitions. This topology reveals an underlying structure that is succinctly captured by Landau theory. In the a ...
... in the XY universality class along its continuous segment rather than Ising. Landau theory.—The phase diagram in Fig. 2 displays an elaborate network of quantum critical points and phase transitions. This topology reveals an underlying structure that is succinctly captured by Landau theory. In the a ...
by Dr. Matti Pitkänen
... members of same species. Why not all living creatures? There are 2 simple explanations for this. 1. The first explanation is already mentioned and is based on the observation that the delocalization of fermionic and bosonic field modes (having additional N-fold anomalous 'spin') associated with the ...
... members of same species. Why not all living creatures? There are 2 simple explanations for this. 1. The first explanation is already mentioned and is based on the observation that the delocalization of fermionic and bosonic field modes (having additional N-fold anomalous 'spin') associated with the ...
Einstein-Podolsky-Rosen-Bohm laboratory
... A key feature of our test is that it does not rely on any particular property of the state |Φ. For instance, if in a laboratory EPRB experiment we find that E1 (a, b) shows a dependence on b that exceeds five times the standard deviation, this dependence cannot be attributed to |Φ deviating from t ...
... A key feature of our test is that it does not rely on any particular property of the state |Φ. For instance, if in a laboratory EPRB experiment we find that E1 (a, b) shows a dependence on b that exceeds five times the standard deviation, this dependence cannot be attributed to |Φ deviating from t ...