Spontaneous symmetry breaking of solitons trapped in a double
... Note that ansatz (5) includes the cosine trial function with a constant width. This assumption is relevant for a deeply bound quantum state (as mentioned above, the ansatz was modeled on the pattern of the ground state in the infinite deep box), but not when the energy eigenvalue |µ| is small. Indee ...
... Note that ansatz (5) includes the cosine trial function with a constant width. This assumption is relevant for a deeply bound quantum state (as mentioned above, the ansatz was modeled on the pattern of the ground state in the infinite deep box), but not when the energy eigenvalue |µ| is small. Indee ...
1. The infinite square well
... for the case of states with E > 0 how this is done in a general way. We approach this particular problem, E < 0, in a way that exploits the symmetry of the potential, namely that it is symmetrical about x = 0 so that the wavefunction solutions must be either of even parity (ψ(x) = ψ(−x)) or of odd p ...
... for the case of states with E > 0 how this is done in a general way. We approach this particular problem, E < 0, in a way that exploits the symmetry of the potential, namely that it is symmetrical about x = 0 so that the wavefunction solutions must be either of even parity (ψ(x) = ψ(−x)) or of odd p ...
Slides
... •A tricritical point separates the 2nd order transitions from the 1st order ones. •In a magnetic field, tricritical wings appear: •A quantum critical point is eventually realized, but only at a nonzero magnetic field! •This behavior is seen in systems that are very with respect to electronic structu ...
... •A tricritical point separates the 2nd order transitions from the 1st order ones. •In a magnetic field, tricritical wings appear: •A quantum critical point is eventually realized, but only at a nonzero magnetic field! •This behavior is seen in systems that are very with respect to electronic structu ...
Algebraic Quantum Field Theory on Curved Spacetimes
... also called the Cauchy development of O. With this, we are finally in the position to state the definition of global hyperbolicity (valid for all spacetime dimensions). Definition 2.1 A Cauchy surface is a closed achronal set Σ ⊂ M with D(Σ, M) = M. A spacetime (M, g) is called globally hyperbolic i ...
... also called the Cauchy development of O. With this, we are finally in the position to state the definition of global hyperbolicity (valid for all spacetime dimensions). Definition 2.1 A Cauchy surface is a closed achronal set Σ ⊂ M with D(Σ, M) = M. A spacetime (M, g) is called globally hyperbolic i ...
Semiclassical approximations in wave mechanics
... T h e difficulty of solving a given problem in ‘semiclassical mechanics’ is, fairly obviously, directly related to the complexity of the pattern of classical paths. I n particular, we shall find time and again that it is the topology of the orbits that affects the form of the semiclassical expressio ...
... T h e difficulty of solving a given problem in ‘semiclassical mechanics’ is, fairly obviously, directly related to the complexity of the pattern of classical paths. I n particular, we shall find time and again that it is the topology of the orbits that affects the form of the semiclassical expressio ...
Could Inelastic Interactions Induce Quantum Probabilistic Transitions?
... In short, what everyone still tends to take for granted - namely that the quantum domain is inherently baffling and incomprehensible because it cannot be made sense of in terms of the classical particle or the classical wave (or field) - is actually very good news indeed as far as the intelligibilit ...
... In short, what everyone still tends to take for granted - namely that the quantum domain is inherently baffling and incomprehensible because it cannot be made sense of in terms of the classical particle or the classical wave (or field) - is actually very good news indeed as far as the intelligibilit ...
Quantum information theory: Results and open
... The discipline of information theory was founded by Claude Shannon in a truly remarkable paper [28] which laid down the foundations of the subject. We begin with a quote from this paper which is an excellent summary of the main concern of information theory: The fundamental problem of communication ...
... The discipline of information theory was founded by Claude Shannon in a truly remarkable paper [28] which laid down the foundations of the subject. We begin with a quote from this paper which is an excellent summary of the main concern of information theory: The fundamental problem of communication ...
Structural( biology( at( the( single( particle( level:( imaging( tobacco
... eigenvalues and have been measured by solar, atmospheric, reactor, and accelerator experiments [1]. Combining such results, however, does not lead to an absolute value for the eigenmasses, and a dichotomy between two possible scenarios, dubbed ”normal” and ”inverted” hierarchies, exists. The scenari ...
... eigenvalues and have been measured by solar, atmospheric, reactor, and accelerator experiments [1]. Combining such results, however, does not lead to an absolute value for the eigenmasses, and a dichotomy between two possible scenarios, dubbed ”normal” and ”inverted” hierarchies, exists. The scenari ...
Department of Physics, Chemistry and Biology Master’s Thesis Cavities
... In order to solve the Schrödinger equation in a more complex region than, for example, a circle or rectangle, a numerical method is needed. One such method is the finite difference method (FDM) [9]. In FDM the problem is discretized — approximated by a finite number of points — with each point desc ...
... In order to solve the Schrödinger equation in a more complex region than, for example, a circle or rectangle, a numerical method is needed. One such method is the finite difference method (FDM) [9]. In FDM the problem is discretized — approximated by a finite number of points — with each point desc ...
The strange (hi)story of particles and waves
... equations. The possibility of these fields to propagate and carry energy gave them a certain substantial character that seemed to support the world of continua as envisioned by the energeticists. Regarding atoms, Ernst Mach used to ask “Have you ever seen one?” whenever somebody mentioned them to hi ...
... equations. The possibility of these fields to propagate and carry energy gave them a certain substantial character that seemed to support the world of continua as envisioned by the energeticists. Regarding atoms, Ernst Mach used to ask “Have you ever seen one?” whenever somebody mentioned them to hi ...
The Classical and Quantum Mechanics of Systems with Constraints
... In this paper, we will discuss the classical and quantum mechanics of finite dimensional systems whose orbits are subject to constraints. Before going any further, we should explain what we mean by “constraints”. We will make the definition precise below, but basically a constrained system is one in ...
... In this paper, we will discuss the classical and quantum mechanics of finite dimensional systems whose orbits are subject to constraints. Before going any further, we should explain what we mean by “constraints”. We will make the definition precise below, but basically a constrained system is one in ...
Quantum steam tables. Free energy calculations for H2O, D2O, H2S
... where n designates all of the quantum numbers for each vibration-rotation state and /3= lIk B T. If the system of interest is studied at low temperature, an accurate calculation of the molecular zero-point energy for a small range of rotational excitation energies, and perhaps the excitation energie ...
... where n designates all of the quantum numbers for each vibration-rotation state and /3= lIk B T. If the system of interest is studied at low temperature, an accurate calculation of the molecular zero-point energy for a small range of rotational excitation energies, and perhaps the excitation energie ...
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS
... freely moving particles are reflected at infinitely hard walls, can be integrated into the scheme (3) by putting d = +∞. For bound systems the limit of high energy implies the limit of large quantum numbers. For negative degrees d, the potentials behave as inverse powers of the coordinate and vanish ...
... freely moving particles are reflected at infinitely hard walls, can be integrated into the scheme (3) by putting d = +∞. For bound systems the limit of high energy implies the limit of large quantum numbers. For negative degrees d, the potentials behave as inverse powers of the coordinate and vanish ...
Noncommutative geometry with applications to quantum physics
... dichotomy and rater consider that it reflects a temporary difficulty more than a fundamental obstruction (the history of physics is rich of such examples, where apparent oppositions are solved within a major unifying discovery). Therefore different strategies are explored in order to make gravity co ...
... dichotomy and rater consider that it reflects a temporary difficulty more than a fundamental obstruction (the history of physics is rich of such examples, where apparent oppositions are solved within a major unifying discovery). Therefore different strategies are explored in order to make gravity co ...
Measurement Theories in Quantum Mechanics Cortland M. Setlow March 3, 2006
... offers a deeper understanding of electromagnetic phenomena, Mermin's correlations may offer some new structure to quantum mechanics, but here I seek only to analyze some aspects of measurement. What, then, is QM trying to tell us? With its Hilbert space structure and associated operators, we can des ...
... offers a deeper understanding of electromagnetic phenomena, Mermin's correlations may offer some new structure to quantum mechanics, but here I seek only to analyze some aspects of measurement. What, then, is QM trying to tell us? With its Hilbert space structure and associated operators, we can des ...
Critical Study of The Structure and Interpretation of
... account, which I find quite curious. identity explanations proceed by showing that the correlated are aspects of a single variable. Here's how van Fraassen seem to work for quantum suggests that this might systems. Suppose that A and B commute, have a set {>,-}of common such eigenstates ...
... account, which I find quite curious. identity explanations proceed by showing that the correlated are aspects of a single variable. Here's how van Fraassen seem to work for quantum suggests that this might systems. Suppose that A and B commute, have a set {>,-}of common such eigenstates ...
Classical limit and quantum logic - Philsci
... located in space an time, and can be manipulated by classical means. However, when connected to a circuit, well-known quantum effects of our interest take place on it; for example, consider the tunnel effect of the electrons inside it. This means that a transistor is an object such that some of its ...
... located in space an time, and can be manipulated by classical means. However, when connected to a circuit, well-known quantum effects of our interest take place on it; for example, consider the tunnel effect of the electrons inside it. This means that a transistor is an object such that some of its ...