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    Quantum Physics

    Quantum physics is a branch of physics which deals with physical phenomena’s at microscopic scales, where the action is on the other of Planck constant. Quantum mechanics departs from classical mechanics primarily at the quantum realm of atomic and subatomic length scales. Quantum mechanics provides a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter.

    The mathematical formulations of quantum mechanics are abstract. A mathematical function known as the wavefunction provides information about the probability amplitude of position, momentum, and other physical properties of a particle. The wavefunction treats the objet as a quantum harmonic oscillator, and the mathematics is akin to that describing acoustic resonance. Many properties in quantum physics cannot be easily visualized in terms of classical mechanics.

    According to Planck, each energy element E is proportional to its frequency v:


    Where h is Planck’s constant. Planck insisted that this was simply an aspect of the processes of absorption and emission of radiation and had nothing to o with the physical reality of the radiation itself.

    Quantum mechanics had great success in explaining many of the features of our World. It is often the only tool available that can reveal the individual behaviors of the subatomic particles that make up all forms of matter. Quantum physics has also strongly influenced string theories, candidates for a theory of everything.

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    BrainMass Categories within Quantum Physics

    Blackbody Radiation

    Solutions: 22

    Blackbody radiation is a type of electromagnetic radiation within or surrounding a body in thermodynamic equilibrium with its environment or emitted by a black body held at constant, uniform temperature.

    Heinsenburg's Uncertainty Principle

    Solutions: 38

    The Heinsenburg's uncertainty principle states that, at the miniscule level of quantum mechanics, it becomes impossible to measure a particle's exact location with any degree of precision.


    Solutions: 63

    Schrodinger’s cat is a thought experiment devised to illustrate what Erwin Schrodinger saw was the problem of the Copenhagen interpretation of quantum mechanics applied to everyday objects, resulting in a contradiction with common sense.

    BrainMass Solutions Available for Instant Download

    The Energy of Spin-Orbit Coupling

    Can you show that the energy of interaction is proportional to the scalar product s∙l.? See attachment for symbols. The energy of a magnetic moment mu in a magnetic field B is equal to their scalar product (see attachment). If the magnetic field arises from the orbital angular momentum of the electron, it is proportional to

    Addition of angular momenta

    Please help with the following problems. Suppose you know that an electron is in l = 1 state. As usual we refer the total angular momentum by J = L + S. (a) What does | j = 3/2, j2 = 3/2> state correspond to in terms of the states in the product basis, | l2, s2 >? (b) By acting J_ on this state find | j = 3/2, j2 = 1/2 >

    Addition of Angular Momentum in a Helium Atom

    Hello, I have attached a homework problem I need help with as a Picture file. With my exam only a day away, I'm unfortunately stuck trying to get to the solutions to these problems before I can fully attempt them myself, so that I can study them for the exam and get as much preparation possible. There were seven total, but I hav

    Quantum Harmonic Oscillator and Normalizing a Wave Function

    Hi, I've attached the problem as a Picture. I've learned a lot from the help I have received here on Brainmass, and I'm going to try doing this one on myself and hopefully I'll do it right. Thank you for your help! Consider a simple harmonic oscillator with an angular frequency w. Suppose at t=0 it is in a state given by: (se

    Electron Trapped in Infinite Potential Well

    Hi, I've attached a homework problem I need help with as a JPEG picture file. I've done a few slightly easier ones before, and I'm about to try doing this one, but I still make stupid mistakes that I don't catch and would appreciate your help with the problem. Thank you very much! 1. An electron is trapped in an infinite pote

    Expectation Values For Various States on a Harmonic Oscillator

    See the attached file. 3. (a) Calculate the expectation values < x >, < p >, < x^2 > and < p^2 > for the ground state, | 0 >, and the first excited state, | 1 >, of the harmonic oscillator. (b) Now compute delta(x)delta(p), does this satisfy the uncertainty principle? 4. Using the results from (3), find the expectation

    States of a Quantum Harmonic Oscillator

    6. Consider the state of a harmonic oscillator initially (t=0) to be given by |phi >= 5|0 + 12| 1>. (a) Find the normalized state. (b) What will be the state of the particle after time t. (c) Calculate < x > and < p > for this state at time t. Is this classically what you would expect?

    A Two State System Spanned by Two Orthonormal Vectors

    Consider a two state system spanned by two orthonormal vectors, |1> and |2>. The action of an operator  is defined via: Â|1> = 2|1> + i|2> Â|2> = -i|1> + 3|2> Find Â|ѱ> where |ѱ> = |1> + |2> Can you now verify your answer for Â|ѱ> by doing the calculation in matrix representation? And then compute the fo

    Uncertainty: Particle in a Box

    A helium atom is confined to a one-dimensional space 8 x 10^-10m. 1. What is the minimum uncertainty in the momentum of the helium atom? 2. What is the minimum velocity of the helium atom? 3. What is the minimum energy of the helium atom?

    Phy science/ Bill Tillery 8th edition

    1. An electron with amass of 9.11*10 -31 kg has a velocity of 4.3*10 6m/s in the innermost orbit of a hydrongen atom. What is the de Broglie wavelength of the electron? 7. An electron wave making a standing wave in a hydrogen atom has a wavelength of 8.33*10 -11m. If the mass of the electron is 9.11*10 -31kg, What is the ve

    Quantum Mechanics Multiple Choice

    True/False Indicate whether the sentence or statement is true or false. ______ 1. In computer mathematical simulation, a system is replicated with a mathematical model that is analyzed with the computer. ______ 2. Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbe

    Dirac Notation for a Quantum State of a System

    In the dirac notation for a quantum state of a system, an eigenstate wave function u_n is replaced by the vector |n>, and a general state wave function (see attached) a) Translate the following mathematical statements to the corresponding forms n wave mechanics: i) <n|m> = (see attached), where A is an hermitian operator.

    'Quantum Mechanics'

    This question is from the text book 'Quantum Mechanics' second edition by David J. Griffiths. (See attached file for full problem description) --- Problem 3.27 - Sequential measurements. An operator Aprime, representing observable A, has two... ---

    The Mathematical Methods in Physical Science

    The Pauli spin matrices in quantum mechanics are sigma_x = 0 1 sigma_y = 0 -i sigma_z = 1 0 1 0 i 0 0 -1 a) Show that (sigma_x)^2 = (sigma_y)^2 = (sigma_z)^2 = I (identity of unit matrix) b) Show that (sigma_x)(sigma_y) - (sigma_y)(si

    Anti-hermitian operator

    This is problem 3.26 in Griffiths' Introduction to Quantum Mechanics (second editition): An anti-hermitian (or skew-hermitian) operator is equal to minus its hemitian conjugate: (a) Show that the expectation value of an anti-hermitian operator is imaginary. (b) Show that the commutator of two hermitian operators is anti