The Basic Laws of Nature: from quarks to cosmos
... The laws of physics would not change if we replaced electrons of type 1 with electrons of type 2. We can choose any linear combination of electrons 1 and 2. This is called a global SU(2) symmetry. (spin also has ...
... The laws of physics would not change if we replaced electrons of type 1 with electrons of type 2. We can choose any linear combination of electrons 1 and 2. This is called a global SU(2) symmetry. (spin also has ...
Operator Theory and Dirac Notation
... Notice that we have distinguished x and x’. The unit operator must integrate over all possible values of x’ while x is just one of the possible values of x’. Now the left side is the value of at one value of x’ (x’=x) while the right side involves a sum of the values of at all values of x’. Ther ...
... Notice that we have distinguished x and x’. The unit operator must integrate over all possible values of x’ while x is just one of the possible values of x’. Now the left side is the value of at one value of x’ (x’=x) while the right side involves a sum of the values of at all values of x’. Ther ...
Lecture 9 - MIT OpenCourseWare
... 1. The energy levels or the energy eigenvalues En of the hydrogen atom depend only�on n , which is called the principal quantum number. 2. Since the energy levels and radial decay rate depend only on the n number this�number is used to identify an electron shell. 3. For each energy En , there exi ...
... 1. The energy levels or the energy eigenvalues En of the hydrogen atom depend only�on n , which is called the principal quantum number. 2. Since the energy levels and radial decay rate depend only on the n number this�number is used to identify an electron shell. 3. For each energy En , there exi ...
Conventions in relativity theory and quantum mechanics
... But what is the point in arguing that the constancy of the speed of light is a convention rather than an empirical finding? Is this not a vain question; devoid of any operational testability? The answer to this concern is twofold. First, a misinterpretation might give rise to a doctrinaire and impr ...
... But what is the point in arguing that the constancy of the speed of light is a convention rather than an empirical finding? Is this not a vain question; devoid of any operational testability? The answer to this concern is twofold. First, a misinterpretation might give rise to a doctrinaire and impr ...
Molecular Deceleration of polar molecules
... electric field we can in principle decelerate the molecules. The problem arises because of the difficulty in transverse confinement. Maxwell’s equations do not allow for a maximum of the electric field in free space. If the same geometry for electrodes is used then the high-field-seeking states have ...
... electric field we can in principle decelerate the molecules. The problem arises because of the difficulty in transverse confinement. Maxwell’s equations do not allow for a maximum of the electric field in free space. If the same geometry for electrodes is used then the high-field-seeking states have ...
Quantum Complexity and Fundamental Physics
... “A quantum computer with 400 qubits would have ~2400 classical bits, so it would violate a cosmological entropy bound” “My classical cellular automaton model can explain everything about quantum mechanics! (How to account for, e.g., Schor’s algorithm for factoring prime numbers is a detail left for ...
... “A quantum computer with 400 qubits would have ~2400 classical bits, so it would violate a cosmological entropy bound” “My classical cellular automaton model can explain everything about quantum mechanics! (How to account for, e.g., Schor’s algorithm for factoring prime numbers is a detail left for ...
String Theory - Indico
... dictionary that allows one to map all the physical properties of one system on to the other and vice versa. It is better denoted: σνμβολον ...
... dictionary that allows one to map all the physical properties of one system on to the other and vice versa. It is better denoted: σνμβολον ...
On How to Produce Entangled States Violating Bell’s Inequalities in... Apoorva Patel Dx by discretising the time interval:
... One can pick situations where the information contained in the relative phases cannot be made arbitrary small, because there are constraints on the complex amplitudes following, for example, from analyticity and dispersion relations [28]. In such cases, a statistical mechanics description cannot pro ...
... One can pick situations where the information contained in the relative phases cannot be made arbitrary small, because there are constraints on the complex amplitudes following, for example, from analyticity and dispersion relations [28]. In such cases, a statistical mechanics description cannot pro ...
Plenty of Nothing: Black Hole Entropy in Induced Gravity
... size on the horizon surface. This estimation suggests that a reasonable microscopical explanation of the Bekenstein-Hawking entropy must be based on the quantum gravity, this Holy Grail of the theoretical physics. The superstring theory is the best what we have and what is often considered as the mo ...
... size on the horizon surface. This estimation suggests that a reasonable microscopical explanation of the Bekenstein-Hawking entropy must be based on the quantum gravity, this Holy Grail of the theoretical physics. The superstring theory is the best what we have and what is often considered as the mo ...
QFT in curved space-time
... background of an electromagnetic field. In analogy, we might hope to get some insight to quantum effects of gravity by considering quantized fields in a classical background, i.e. in a classical curved space. Still there are some issues with this idea. The principle of general covariance states that ...
... background of an electromagnetic field. In analogy, we might hope to get some insight to quantum effects of gravity by considering quantized fields in a classical background, i.e. in a classical curved space. Still there are some issues with this idea. The principle of general covariance states that ...