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- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/03%3A_Momentum_and_Angular_Momentum/3.02%3A_MomentumKinetic energy is a quantity that’s associated with motion. However, kinetic energy itself is not always conserved. If a cue pool ball runs into another ball, and the cue ball stops dead, the other ba...Kinetic energy is a quantity that’s associated with motion. However, kinetic energy itself is not always conserved. If a cue pool ball runs into another ball, and the cue ball stops dead, the other ball goes off with the same speed that the cue ball came in at.
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/02%3A_EnergyIt is used in everyday parlance to mean a number of different things, many of which bear at most a passing resemblance to the term as used in physical science. In a physical system, you can identify t...It is used in everyday parlance to mean a number of different things, many of which bear at most a passing resemblance to the term as used in physical science. In a physical system, you can identify the forms of energy that are present, and calculate a number that represents the amount of energy there is for each of these forms. That is, in any interaction, the total amount of energy afterwards is exactly the same as the total amount of energy beforehand.
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/zz%3A_Back_Matter/20%3A_GlossaryExample and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pag...Example and Directions Words (or words that have the same definition) The definition is case sensitive (Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages] (Optional) Caption for Image (Optional) External or Internal Link (Optional) Source for Definition "Genetic, Hereditary, DNA ...") (Eg. "Relating to genes or heredity") The infamous double helix CC-BY-SA; Delmar Larsen Glossary Entries Definition Image Sample Word 1 Sample Definition 1
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/11%3A_Noncommuting_Operators_and_Uncertainty
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/01%3A_Units_and_Dimensionality/1.02%3A_Arithmetic_with_Dimensional_QuantitiesWhen you put together numbers that have dimensions on them, you have to keep track of the units as you are doing your arithmetic. You can do algebra with numbers that have dimensions on them. However,...When you put together numbers that have dimensions on them, you have to keep track of the units as you are doing your arithmetic. You can do algebra with numbers that have dimensions on them. However, it is not a good idea in general to do algebra with numbers. Solve things symbolically first, and only put in the numbers at the end. When you do this, you will have various quantities with different units.
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/06%3A_Amplitudes_and_Probabilities/6.02%3A_Amplitudes/6.2.01%3A_Calculating_Probabilities_from_AmplitudesSo, if \(\ A\) is the amplitude for a particle to be in a given state, then the probability \(\ P\) for that particle to be in that state is: As an example, suppose that you’ve calculated that the amp...So, if \(\ A\) is the amplitude for a particle to be in a given state, then the probability \(\ P\) for that particle to be in that state is: As an example, suppose that you’ve calculated that the amplitude for a particle in state \(\ |\psi\rangle\) to be subsequently measured to have \(\ +z\) spin (and thus go into the state \(\ |+z\rangle\)) is \(\ (2+i) / 3\).
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/01%3A_Units_and_DimensionalityFor example, inches, meters, miles, and light-years are all length units; something measured in those units have dimensionality of length. Kilograms, grams, and solar masses are all units of dimension...For example, inches, meters, miles, and light-years are all length units; something measured in those units have dimensionality of length. Kilograms, grams, and solar masses are all units of dimensionality mass. I am seven times older; that seven doesn’t have any units on it, as it’s a ratio of two ages (42 years and 6 years, respectively). For any other number you report, it’s essential that you report the units of the number along with the number itself.
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/00%3A_Front_Matter/01%3A_TitlePageEnergy and Matter: Our Quantum World (Knop)
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/01%3A_Units_and_Dimensionality/1.01%3A_SI_Units/1.1.01%3A_SI_PrefixesThere is a standard set of SI prefixes that can be prepended to any unit in order to make another unit of the same dimensionality but of a different size. A millimeter is 1/1000 of a meter, and a kilo...There is a standard set of SI prefixes that can be prepended to any unit in order to make another unit of the same dimensionality but of a different size. A millimeter is 1/1000 of a meter, and a kilometer is 1000 meters. You could do the same thing with seconds; a millisecond is 0.001 seconds, and a kilosecond is 1000 seconds (about 17 minutes). There is very big difference between a Mm and a mm— a factor of a billion, in fact!
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/05%3A_Dirac_Notation/5.01%3A_The_State_of_a_SystemThe state of a system means the collection of all properties that that system may have. For example, consider an electron. If you wanted to specify the state of that electron as completely as possible...The state of a system means the collection of all properties that that system may have. For example, consider an electron. If you wanted to specify the state of that electron as completely as possible, you’d have to specify where it is and its momentum, as well as how well determined its momentum is. You would also have to specify the state of its angular momentum.
- https://phys.libretexts.org/Under_Construction/Energy_and_Matter%3A_Our_Quantum_World_(Knop)/06%3A_Amplitudes_and_Probabilities/6.03%3A_Bra_Vectors_and_the_Inner_ProFor each ket vector \(\ |\psi\rangle\),
