What is Quantum physics: Definition and 723 Discussions

Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.
Classical physics, the description of physics that existed before the theory of relativity and quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, while quantum mechanics explains the aspects of nature at small (atomic and subatomic) scales, for which classical mechanics is insufficient. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale.Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values (quantization), objects have characteristics of both particles and waves (wave-particle duality), and there are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle).
Quantum mechanics arose gradually from theories to explain observations which could not be reconciled with classical physics, such as Max Planck's solution in 1900 to the black-body radiation problem, and the correspondence between energy and frequency in Albert Einstein's 1905 paper which explained the photoelectric effect. These early attempts to understand microscopic phenomena, now known as the "old quantum theory", led to the full development of quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born and others. The modern theory is formulated in various specially developed mathematical formalisms. In one of them, a mathematical entity called the wave function provides information, in the form of probability amplitudes, about what measurements of a particle's energy, momentum, and other physical properties may yield.

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  1. B

    A Question while I study Modern Quantum physics by Sakurai

    In the book of Modern Quantum physics by Sakurai I wonder how 1.6.26 can be 1.6.27.
  2. B

    Infinite square well doubled with time

    A particle is in its ground state of an infinite square well of width a <xl i>=√2/a*sin(πx/a) and since it's an eigenstate of the Hamiltonian it will evolve as <xlα(t)>=√2/a*sin(πx/a)e^(-iE1t/ħ) where E=π2ħ2/2ma2 If the well now suddenly expands to witdh 2a If the well suddenly expands to 2a...
  3. N

    A Hologram theory and quantum physics = existential crisis

    Hello, here there are 2 things (one about hologramic universe and the other about a quantum physics test similar to the slit lamp. The first one is about the Bohm and Pibram as well as one about Alain Aspect 1982 study: articles about their theories...
  4. S

    I Exploring the Experiments & Interpretations of Quantum Physics

    If you were to explain what quantum physics is by first introducing the historic experiments/observations undertaken by scientists and then explain the different possible accepted interpretations and theory... How many experiments would you need at least? Which ones? Double Split Experiment...
  5. Adolfo Scheidt

    I Product of complex conjugate functions with infinite sums

    Hello there. I'm here to request help with mathematics in respect to a problem of quantum physics. Consider the following function $$ f(\theta) = \sum_{l=0}^{\infty}(2l+1)a_l P_l(cos\theta) , $$ where ##f(\theta)## is a complex function ##P_l(cos\theta)## is the l-th Legendre polynomial and...
  6. P

    Exploring Quantum Mechanics: Practice Problems and Theories Behind Equations

    Hello there, I'm new. I'm a high school student, currently in a physics class, trying to teach himself some basic quantum mechanics. My teacher can offer limited assistance, since she doesn't want to force the rest of class to do this stuff, and considers me slightly mentally ill for attempting...
  7. Adolfo Scheidt

    I Harmonic Oscillator equivalence

    Hello, I'm studying the section 2.2 of "Introduction to Quantum Mechanics, 2nd edition" (Griffiths), and he shows this equation $$\frac{\partial^2\psi}{\partial x^2} = -k^2\psi , $$ where psi is a function only of x (this equation was derivated from the time-independent Schrödinger equation) and...
  8. BookWei

    Find the possible total energies (Quantum Physics)

    Homework Statement I'm doing problems for practice in quantum physics. Consider two particles of the mass m in one dimension with coordinates being denoted by x and they are connected by a spring with spring constant k. Suppose that the total momentum of the system is p. Find all possible...
  9. V

    Eigenvectors of Ly and associated energies

    Homework Statement Consider a particle with angular momentum l=1. Write down the matrix representation for the operators L_x,\,L_y,\,L_z,for this particle. Let the Hamiltonian of this particle be H = aL\cdot L-gL_z,\,g>0.Find its energy values and eigenstates. At time t=0,we make a measurement...
  10. I

    Where do I start with quantum physics?

    I'm really interested in quantum physics and want to my own learning on it,but what does it contain, generally? And where should I start with it?
  11. Lola1

    I Spectrum energy of a particle moving on a circumference

    If you consider the one-dimensional case of a particle constrained to move on the edge of a circumference, the energy spectrum is continuous and two times degenerate. Why the fact that the particle can move in clockwise and counterclockwise implies that the spectrum is degenerate twice? In any...
  12. clarkvangilder

    I Short Distance Quantum Physics

    Does this paper [https://arxiv.org/pdf/1505.06963.pdf] give sufficient reason to accept/believe that the infinities where we "find" singularities can never really happen because there is a minimum length scale that prevents it? Hoping that I have made at least a reasonable deduction from the...
  13. durant35

    I Born rule for macroscopic objects

    There is one thing that I don't understand when considering quantum mechanics for macroscopic bodies. It is said that classical mechanics is a valid approximation and that macroscopic bodies that we encounter on everyday basis have a small uncertainty in position and momentum. So far, so good...
  14. Mikey16

    Quantum Books recommended for quantum physics?

    Hi! I'm an undergraduate student studying mechanical engineering with some numerical knowledge of astrophysics. If I want to start learning quantum physics by myself, which books should I start reading? Thanks!
  15. ChrisisC

    B Maths used in Quantum physics, specifically particle physics

    What are the main maths used in the mentioned fields of physics? Not just general terms like "Calculus" but more specific maths. Also, what is the logic behind using these to solve problems in physics? Example, why would someone use differential calculus to calculate the probability of a...
  16. K

    A Is Negative Mass Real and How Does It Affect Energy in Space?

    Hello Everyone, While deriving potential energy stored in space due to two stationary opposite charges we end up with negative value of energy which upon dividing by c square provides us with negative value of mass. What is the significance of this mass other than reducing the total mass of...
  17. Zafa Pi

    I Distinguishing classical physics vs. quantum physics

    For some time I've been wondering how to eloquently distinguish classical and quantum physics. What I mean by eloquent is both simple and short. By simple I mean understandable to any college freshman, and with that caveat, as short as possible. Something like: "quantum has inherent randomness...
  18. ChrisisC

    Physics Particle Physics and Quantum Physics

    I am trying to figure out what winfield oh physics i should study for a career. I absolutely love learning about strange quantum phenomena but also love learning about extremely small particles and how they interact at the smallest of scales Would i be interested in a career in particle physics...
  19. ChrisisC

    B Why is Quantum Physics so Strange?

    I want to be a quantum physicist as a career because i absolutely love the mystery behind certain principles in quantum physics. Especially things like the quantum eraser experiment. I am wondering if there is a reason that quantum mechanics has very weird principles that seem to defy logic...
  20. J

    Other Nuclear engineering vs nuclear physics vs quantum physics

    This is my final year at high school and i don't know which college is better for study. i love physics and chemistry especially nuclear subjects So i have lots of questions like what I'll study and the applications of it , where I'll work and which one is deeply focus on nuclear stuff...
  21. shane jeffrey

    Need a job in quantum physics

    hi my name is Shane and I am currently in college but my college does not help in that branch of science, I am in England Suffolk and I am 17, I was wondering if anyone had an idea where I could start
  22. M

    J/psi Meson Detection: ΔEΔt≈h

    Homework Statement See Image The bit about Spectral lines, I couldn't explain why[/B] Homework Equations ΔEΔt≈h The Attempt at a Solution I expected the histogram to peak at the given mass in question and to have a width of about 0.08 MeV calculated as ΔE from the Energy-time uncertainty...
  23. E

    I A question about the delayed choice quantum eraser experiment

    This delayed choice quantum eraser experiment captured my attention and after deep thought about it, I find it really startling and totally punishing to my common sense. My question is: Can you predict the future, say, a human's mind, using the quantum eraser? I imagine a modified version of the...
  24. GW150914

    I What would the world be like if c→∞ and h=0?

    What would the world be like if the speed of light is infinity and the Planck constant is zero (therefore the world is totally Newtonian)?
  25. Luis Obis

    Programs Choosing a Master's degree in Physics

    I am a physics student from Spain and hopefully I will be finishing my degree in physics (4y) by next June. I am trying to decide on a Master's program to study but I am finding very difficult to decide since there are so many oportunities and so diverse specially when looking for programs...
  26. Julie1703

    B The dimension of time in String Theory

    I was doing some reading on String Theory...I'm not a scientist, but i enjoy it (so forgive me if my question is stupid) and i was wondering: Being time a dimension, could it be the dimension the strings exist in? And interaction between all particles and all forces determine how they vibrate...
  27. C

    Measurement standard for joules = Momentum in kilograms

    Basically, I found the energy of a photon using its frequency ((6.8*10^15) and E=(3.6496394*10^-16)) and so I then used "p=E/c" to find the momentum and got 1.2173887*10^-24 however I don't know the measurement of the momentum. Is there a better equation to use to find momentum, and what would...
  28. Y

    Time Inversion Symmetry and Angular Momentum

    Homework Statement Let ##\left|\psi\right\rangle## be a non-degenerate stationary state, i.e. an eigenstate of the Hamiltonian. Suppose the system exhibits symmetry for time inversion, but not necessarily for rotations. Show that the expectation value for the angular momentum operator is zero...
  29. victorhugo

    I Why don't general relativity and quantum physics agree?

    I always hear that the two 'don't match' and disagree, but never in what... Someone mind explaining?
  30. R

    A Scale in mathematics vs in quantum physics

    What is the difference between the concept of scale in the SM QFTs and the scale concept in geometry? In other words, QFT is a scale-dependent theory that is living on a scale-invariant space(either R4 or M4, related by Wick rotations). Mathematically scale-invariance and scale-dependence appear...
  31. B

    Ready to Dive into Entropy, Black Holes, and More? Join PF Bryan!

    I am trained in aeronatical engineering, spent a number of year supporting sounding rockets in the exploration of the Upper Atmosphere. Retired 16 years ago. Am interested in General Relativity and Quantum physics. Looking to explore and understanding of entropy... Black holes... Etc.
  32. Bill_W

    B Quantum Physics -Double Slit Delayed Observation

    Thanks in advance to all who reply. Forgive me if this naive, I am not scientifically inclined, but I am VERY curious. After re-watching a documentary on quantum physics, I have a "thought experiment" that I would like feedback on. Maybe this experiment (or something like it) has already been...
  33. RicardoMP

    I What is the width of a wave packet?

    I'm reading Gasiorowicz's Quantum Physics and at the beggining of chapter 2, SG introduces the concept of "wave packet" and gaussian functions associated to them. The first attached image is the 28th page of the book's 1st edition I suppose, and my question is about the paragraph inside the red...
  34. RicardoMP

    I Square integrable wave functions vanishing at infinity

    Hi! For the probability interpretation of wave functions to work, the latter have to be square integrable and therefore, they vanish at infinity. I'm reading Gasiorowicz's Quantum Physics and, as you can see in the attached image of the page, he works his way to find the momentum operator. My...
  35. Titan97

    Normalized equation for particle in a ring

    Homework Statement Normalized equation for particle in a ring, where V=0 on a ring of radius 'a' and infinite everywhere else. Homework EquationsThe Attempt at a Solution Replcing x by rθ, $$-\frac{\hbar^2}{2I}\frac{\partial^2\psi}{\partial\theta^2}=E\psi$$ By guess, I found out that...
  36. A

    A Mie scattering with quantum physics

    Hi, I have to make a work about what are the major components of Mie scattering from a quantum physics point of view. Unfortunately, from the research I did I only came up with how Mie scattering can be derived from the Maxwell equations. I must probably using the wrong research words, and I...
  37. Titan97

    Max probability of finding an electron in 3dz2

    Homework Statement The radial wavefunction for ##3d_{z^2}## orbital is $$R=N\sigma^2e^{-\frac{\sigma}{3}}(3\cos^2\theta-1)$$ $$\sigma=\frac{r}{a_0}$$ Find r and θ for which the probabiity of finding the electron is maximum Homework Equations None The Attempt at a Solution ##R^2## gives the...
  38. Greg Bernhardt

    Insights Interview with a Physicist: David J. Griffiths - Comments

    TheAdmin submitted a new PF Insights post Interview with a Physicist: David J. Griffiths Continue reading the Original PF Insights Post.
  39. Titan97

    B Separability of variables

    In a hydrogen atom, the wave function is written as R(r).Θ(θ).Φ(φ). But how is it separable when the electron is interacting with the nucleus?
  40. Titan97

    Probability of finding a particle in an infinite well

    Homework Statement For the particle in a box given in the above question, what is the probability of finding the electron between (i) x = 0.49 and 0.51, (ii) x = 0 and 0.020 and (ii) x=0.24 and 0.26 ( x in nm) for both n=1 and n=2. Rationalize your answers. Homework Equations...
  41. Vitani11

    I Is Light Really a Particle or a Wave? Exploring the Confusion in Modern Physics

    We've learned Q&M in modern physics but I need to make sure I'm getting this concept right... So the photoelectric effect demonstrated the fact that a photon (wave) can knock an electron out of a metal, which could only happen if a photon was a particle. So much for photons being waves. I get...
  42. O

    Studying How to learn Quantum Physics?

    Hello, I am very interested in learning Quantum Physics however I want to know what the prerequisite knowledge is, what math and physics i require before taking up Quantum Physics. I would really appreciate it if someone could make a list or something of that sort so I could know where to...
  43. Faisal Moshiur

    Which is the best book for quantum physics?

    In our BS Hons course, we stumbled upon quantum physics. This aforementioned topic is, if not, completely new to me. Therefore, for a better understanding and easy to understand book is necessary; not compromising on the mathematical side though.
  44. H

    B Connections with Prime numbers and Quantum Physics?

    Hello I'm hard at work trying to find a pattern for the prime numbers and this keeps cropping up. To be honest though, to me it comes across like pseudo science. I mean I never really hear people talk about it. This seems an obvious thing to look into but I don't know anyone who does. Prime...
  45. K

    Quantum Quantum Physics Books: Learn Heisenberg, Dirac, Pauli & More

    I'm really interested in quantum theory and would like to learn all that I can about it. I'm looking books for learning quantum physics that contains derivation of Heisenberg uncertainty principle, dirac notation, pauli matrices, quantum operators, hawking radiation, etc. What are good books to...
  46. Flare12

    B What exactly is quantum physics?

    Hi! I have been watching videos and a documentary about quantum physics on topics such as Schroedinger's cat, quantum entanglement and quantum teletrasportation. I am currently in high school, and don't have such competence in math needed to understand what exactly is quantum physics, and I am...
  47. I

    B Conservation of energy in quantum physics

    I am still in secondary school so I probably shouldn't think about things this complicated (at least that's what it seems to me, complicated), but please correct me if I'm wrong. If I recall correctly, the position of an electron is never certain, and always based on probability, unless...
  48. N

    Techniques for Evaluating Momentum Space Integrals with Spherical Coordinates?

    Homework Statement This integral has to do with the probability amplitude that a free particle at position x0 is found at x at some time t. With H = p2/(2m), this involves evaluating the integral 1/(2π)3∫d3p e-i(p2/(2m))t eip(x-x0) The answer is (m/(2πit))3/2e(im(x-x0)2)/(2t) 2...
  49. M

    B Where Can I Find Math for Black Hole Firewalls?

    Hello :) Before I get to my topic I want to adress that I am new to this website and wish to apologize if my thread is incorrectly placed. I am interested in black holes and lately I have been trying to find some math which lays the basis for a black hole firewall. Sadly I haven't been able...
  50. victorhugo

    I Light and our atmosphere (some quantum physics)

    I was looking at the moon rising and noticed that it starts off quite yellow/orange and gets more and more white as it reaches the middle of the sky. Why does it look bigger? I'd imagine it's something to do with refraction, but how exactly does it work? Does the moon look more orange closer to...
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