
The quantum mechanical tipping pencil--
... into our everyday world of Newtonian objects. The 3 s quantum mechanical tipping of a pencil is an urban myth of physics. Physics teachers should approach this problem with caution to ensure that their students are not getting the wrong idea about quantum mechanics and the realm to which it applies. ...
... into our everyday world of Newtonian objects. The 3 s quantum mechanical tipping of a pencil is an urban myth of physics. Physics teachers should approach this problem with caution to ensure that their students are not getting the wrong idea about quantum mechanics and the realm to which it applies. ...
Wellposedness of a nonlinear, logarithmic Schrödinger equation of
... Similar strategies were also recently developed in [16, 38], in the scope of derivative Schrödinger equations. Some wellposedness and stability properties were shown in [12, 13, 14] for a class of logarithmic Schrödinger equations, where the logarithmic nonlinearity was considered with opposite sign ...
... Similar strategies were also recently developed in [16, 38], in the scope of derivative Schrödinger equations. Some wellposedness and stability properties were shown in [12, 13, 14] for a class of logarithmic Schrödinger equations, where the logarithmic nonlinearity was considered with opposite sign ...
Quantum Structures
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...
Introduction to Quantum Fields in Curved Spacetime
... Quantum gravity remains an outstanding problem of fundamental physics. The bottom line is we don’t even know the nature of the system that should be quantized. The spacetime metric may well be just a collective description of some more basic stuff. The fact[1] that the semi-classical Einstein equati ...
... Quantum gravity remains an outstanding problem of fundamental physics. The bottom line is we don’t even know the nature of the system that should be quantized. The spacetime metric may well be just a collective description of some more basic stuff. The fact[1] that the semi-classical Einstein equati ...
Quantum fluctuation relations: Foundations and applications
... It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some clarification since microreversibility is customarily underst ...
... It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some clarification since microreversibility is customarily underst ...
Master Thesis
... resonance imaging (MRI), including microprocessors, building blocks of modern computers. In some branches of quantum mechanics, such as condensed matter or quantum chemistry, problems that involve many-body quantum systems rapidly reach the computational limit and become intractable. This is due to ...
... resonance imaging (MRI), including microprocessors, building blocks of modern computers. In some branches of quantum mechanics, such as condensed matter or quantum chemistry, problems that involve many-body quantum systems rapidly reach the computational limit and become intractable. This is due to ...
Pulse Propagation in Resonant Tunneling
... The dominant factor ψDS results from a decaying state (DS). This can be seen, first, from the exponential decay ∝ exp (−Γt/2) with Γ = v0 Γk at a fixed space coordinate x. Second, at a fixed time the wave function grows ∝ exp (Γk x/2) which is typical for a DS [16]. This growth continues up to q ≈ 0 ...
... The dominant factor ψDS results from a decaying state (DS). This can be seen, first, from the exponential decay ∝ exp (−Γt/2) with Γ = v0 Γk at a fixed space coordinate x. Second, at a fixed time the wave function grows ∝ exp (Γk x/2) which is typical for a DS [16]. This growth continues up to q ≈ 0 ...
Higher-derivative Lagrangians, nonlocality, problems, and solutions
... There is sometimes a small cost to the use of perturbative constraints with higher-derivative theories. Even for finite series expansions, locality can be lost under the sources. This is inQuence of explicitly time-dependent well known in the case of the self-interacting electron, where the nonlocal ...
... There is sometimes a small cost to the use of perturbative constraints with higher-derivative theories. Even for finite series expansions, locality can be lost under the sources. This is inQuence of explicitly time-dependent well known in the case of the self-interacting electron, where the nonlocal ...
Aspects of the Quantum Hall Effect
... They found, in addition to the integer plateaus, additional steps in the Hall resistance at fractional values of the filling factor, at ν = 13 , 51 and so on. The theoretical obstacle to explaining these features was stark and immediate: when ν < 1, there are more available degenerate electronic sta ...
... They found, in addition to the integer plateaus, additional steps in the Hall resistance at fractional values of the filling factor, at ν = 13 , 51 and so on. The theoretical obstacle to explaining these features was stark and immediate: when ν < 1, there are more available degenerate electronic sta ...
Distinguishing mixed quantum states: Minimum
... Stimulated by the rapid developments in quantum communication and quantum cryptography, the question as to how to optimally discriminate between different quantum states has gained renewed interest [1]. The problem is to determine the actual state of a quantum system that is prepared, with given pri ...
... Stimulated by the rapid developments in quantum communication and quantum cryptography, the question as to how to optimally discriminate between different quantum states has gained renewed interest [1]. The problem is to determine the actual state of a quantum system that is prepared, with given pri ...
1 Correlated Electrons: Why we need Models to - cond
... Brillouin zone. The main source of complex correlated behavior of electronic systems, related with strong fluctuations between different low-energy fermionic configurations, is shown schematically in Fig. 2. For example, if the free energy of an electronic system has only one well defined minimum at ...
... Brillouin zone. The main source of complex correlated behavior of electronic systems, related with strong fluctuations between different low-energy fermionic configurations, is shown schematically in Fig. 2. For example, if the free energy of an electronic system has only one well defined minimum at ...