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Could refer to (1) A hydrogen molecule; two hydrogen atoms bonded together or (2) A hydrogen atom; One electron electromagnetically interacting with a nucleus made of a single proton. Hydrogen atoms are the simplest atoms, and they are the only atoms for which we can exactly solve the Schrodinger ...

2
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1answer
78 views

Hydrogen and the neutron

I have a question about Hydrogen and the neutron. So a neutral hydrogen atom has structure ${}^1H\equiv[p^+ e^-]$, a bound proton and electron. From a quantum theoretical viewpoint, one would write ...
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0answers
33 views

Understanding the Hilbert space requirement for quantum mechanics system relative to Quantum Number (1,0,0) for Hydrogen Schrodinger Equation

I am 6 months into QM, and am trying to grasp an issue. The textbook states that we must normalize (divide by the total over all space) to apply one step in quantum mechanics. To my reading, Hilbert ...
1
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0answers
21 views

What are all the wavelengths of the dueterium spectra?

What are all the wavelengths in the spectrum of deuterium? I've searched and came up with an abstract that only lists the visible part of deuterium's spectrum (see http://myslu.stlawu.edu/~jmil/...
3
votes
2answers
79 views

How do alpha particles emit the heleum spectrum without electrons?

By definition, alpha particles do not have any electrons. This, in turn, should mean they do not emit a spectrum because a light spectrum is caused by electrons jumping between orbitals. Yet it is by ...
-6
votes
1answer
76 views

If I jump from space using a spacesuit filled with hydrogen could I survive the fall? [closed]

If I fill a spacesuit to its maximum volume with hydrogen while wearing it (who cares about the breathing part anyway) and jump from space (let's say, from 100km above sea level, a.k.a. Karman Line), ...
50
votes
3answers
7k views

Why is hydrogen the most abundant element in the Universe?

Hydrogen is the most abundant element in nature. Does cosmological nucleosynthesis provide an explanation for why is this the case? Is the explanation quantitatively precise?
1
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0answers
62 views

How one can use the Klein-Gordon equation to deal with the hydrogen atom? [closed]

I'm not familiar with physics jargons compare to those who study physics professionally, but to remark my knowledge regarding this question, the Klein-Gordon equation is a relativisitc equation for ...
1
vote
1answer
111 views

How is hydrogen able to emit a light spectrum with only one electron?

When light is shined through hydrogen gas, three colors of light appear. The issue I have with this is that hydrogen has one electron, meaning somehow the electron has to be emitting all three of ...
2
votes
0answers
33 views

How much electricity does it take to create hydrogen from water depending on the water's pressure?

Imagine creating bubbles of hydrogen and oxygen underwater at a particular depth using electricity. Then reusing the energy of the bubbles going upward to the surface ( buoyancy ). How is the energy ...
0
votes
1answer
30 views

Compute degeneracy in energy levels of a wavefunction which is a sum of other wavefunctions

Given a hydrogen atom-like wavefunction at time $t=0$, say: $\Psi(r,t=0)=A(2\psi_{100}+\psi_{210}+\sqrt{2}\psi_{211}+\sqrt{3}\psi_{21-1})$ How can I compute the degeneracy of the energy levels for ...
-1
votes
1answer
47 views

How well are the energy differences between ortho and para hydrogen and deuterium known

For a while i have been investigating whether neutrinos could feel a fifth force, that is axial, (opposite charge for opposite spin). But charge conservation means that either proton and neutron are ...
0
votes
0answers
30 views

Optimal Deuterium-Deuterium fusion pressure equation?

I am building a Hirsch-Farnsworth Fusor (a simple D-D fusion reactor) and was wondering if there is an equation or algorithm that could be used to calculate the optimal pressure for deuterium-...
-1
votes
2answers
81 views

What happens if Jupiter is ignited?

I was wondering, what would happen if there was a large amount of oxygen released into Jupiter's atmosphere, than igniting it? Because Jupiter is 90% gas, therefore being a big fire waiting to happen (...
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votes
1answer
75 views

Could we create an artificial sun? [closed]

based on dyson spheres.. imagine we construct an sphere of high radius R , then we fill the sphere with hydrogen, if the sphere is huge and the hydrogen is too then the gravity will make the ...
3
votes
1answer
51 views

Why is Jupiter gaseous rather than solid or liquid?

Why is Jupiter made up of gas? If the gravitational pull was strong enough would it compress to form a solid body?
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votes
1answer
54 views

Can you combine protium and tritium to produce Helium-4?

Can you combine protium and tritium to produce Helium-4? I think they're a perfect match like a piece of puzzle since tritium just need another proton and electron to make a stable helium-4 atom. Also,...
0
votes
0answers
27 views

So(4) synmetry in hydrogen atom

How it that invariance of rotations in 4 dimensional space leads to a degeneracy of energy of hydrogen atom in l and m values.
11
votes
3answers
1k views

Hydrogen atom, what's the wave equation for the atom's nucleus?

I learned from the class about the equation for hydrogen atom's electron where textbook assumed that the center/nuclei of hydrogen atom was fixed at origin. However, since every particle was a wave, ...
0
votes
0answers
18 views

Shankar's Hydrogen Fine Structure

In Shankar's section on the Hydrogen Fine Structure, it appears he sets the magnetic vector potential to be zero. Why does he do this?
5
votes
3answers
211 views

Fine structure Hamiltonian from Dirac equation

The Hamiltonian for fine structure (the atom with $\text{Z}$ protons and with electron interaction terms included) is $$H=\frac{\text{Z}^2}{ r}+\underbrace{\frac{p^2}{m}+\frac{p^4}{m^3}}_{\text{...
1
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1answer
82 views

Why Hydrogen bomb is called “Thermonuclear Bomb”?

Why do we call Hydrogen bomb as "Thermonuclear Bomb" ?
3
votes
3answers
349 views

Why doesn't hydrogen have a neutron?

Why doesn't hydrogen have a neutron?
0
votes
1answer
28 views

Ionisation of hydrogen

Is ionization of hydrogen gas atoms possible? I separated hydrogen from water by electrolysis but I want to obtain H+, how do I ionize that hydrogen gas? Is it possible to do it?
0
votes
0answers
15 views

Screened Coulomb Potential effect on Hydrogen [duplicate]

How does a screened coulomb potential affect the ground state energy of hydrogen atom? Just by looking at the perturbed potential, can we make a prediction about the energy shift? The screened ...
2
votes
0answers
78 views

Does separation of variables find all solutions to the 3-dimensional spherical time independent Schrödinger equation for a hydrogen atom?

I understand why it's OK to separate $\mathbf x$ and $t$ in the time-dependent equation. What's not clear to me is why, in the case of the 3-dimensional hydrogen atom, it's sufficient to find ...
2
votes
1answer
41 views

Evaluation of hydrogen atom matrix elements

Consider the operator $$\mathcal{P}=L_y L_z$$ and the hydrogen atom states $\left|n,l,m\right\rangle$. Evaluate the ratio $$\mathcal{R}=\frac{\left\langle3,1,-1|\mathcal{P}|3,1,0\right\rangle}{\...
0
votes
0answers
14 views

Can electronic energy be independent of nuclear coordinates in the two non interacting hydrogen atom?

I was trying to solve two non interacting hydrogen atoms both nucleus fixed at the the positions $\vec{R_{1}}$ and $\vec {R_{2}}$. I have considered the ground state wave functions of the two ...
2
votes
0answers
78 views

Accidental degeneracy in Hydrogen Energies [duplicate]

The energy of Hydrogen electron ground state should depend on $n$ and $\ell$, but it only depends on $n$. What is the reason behind this accidental degeneracy; I know that the reason lies in symmetry; ...
3
votes
1answer
82 views

Shape of Hydrogen atom in excited state with nonzeros angular momentum

Solution of Schrödinger's equation for an Hydrogen atom is well known: $$\Psi_{n,l,m} (r, \theta, \phi) = N e^{\frac{-r}{n r_1}} R_n^l (r) P_l^m(cos \theta) e^{im\phi} \,.$$ If we interested with ...
1
vote
2answers
55 views

A confusion about the naming of orbitals and the values of magnetic quantum number

From physics courses, I'm told that (for Hydrojen atom only), for a given $\vec L$ of the electron, $$|\vec L| * cos(\theta) = m_l,$$ where $\theta$ is the angle between the magnetic field and the ...
0
votes
0answers
18 views

How to calculate retardation of an atom's velocity as it passes through a gas

There is a volume of pure Hydrogen gas at uniform temperature. Outside of this volume there is a single isolated Hydrogen atom. This atom passes into the volume and either gets caught up with the ...
2
votes
5answers
128 views

Excitation of hydrogen atom by visible light

Question statement: A beam of light having wavelengths distributed uniformly between 450nm and 550nm passes through a sample of hydrogen gas. Which wavelength will have the least intensity in the ...
0
votes
1answer
54 views

Is it possible for liquid metallic hydrogen to be present in a star

Liquid metallic hydrogen can form at extreme temperatures and pressures like that in the center of Jupiter and Saturn. I was just curious since some of the conditions can occur on stars is it ...
7
votes
2answers
1k views

Why doesn't the ${\rm H}_2$ molecule have a permanent dipole while the neutral ${\rm H}\,{\rm\small I}$ has one?

According to the National Radio Astronomy Observatory, the $21\,{\rm cm}$ line of hydrogen can be emitted by the neutral hydrogen atom due to the magnetic interaction between the spins of the proton ...
4
votes
2answers
179 views

Perturbation of relativistic hydrogen

Is there anyone that can provide a source for a relativistic hydrogen atom that is placed in a finite potential well? I am trying to find the new ground state energy for a relativistic electron that ...
-2
votes
1answer
78 views

Hydrogen wave function stationary state [closed]

An electron in a hydrogen atom at an instant $t=0$ have the following wave function: $$\Psi(r,\theta,\phi,t=0)=\frac{1}{2}R_{1,0}(r)Y_0^0(\theta,\phi)+\frac{i}{\sqrt{2}}R_{2,1}(r)Y_1^0(\theta,\phi)+\...
-3
votes
2answers
80 views

21cm line of Hydrogen spectrum [closed]

What is the advantage that we have when we study about 21cm line of Hydrogen spectrum over others, in radio-astronomy?
0
votes
1answer
46 views

Degeneracy split in $n=2$ hydrogen due to uniform electric field. Why is main diagonal zero?

I was checking about the stark effect in the hdyrogen in this site for $n=2$. Now, there are four states to deal with, $\psi_{200}, \psi_{21-1}, \psi_{210}, \psi_{211}$. The perturbation hamiltonian $...
8
votes
1answer
652 views

Can a quasiclassical electron wave packet in elliptic orbit be formed from bound hydrogen-like eigenstates?

Position probability densities of eigenstates of hydrogen-like systems have axial symmetry, so that the wavefunction too much resembles the circular orbits in Bohr's model. I'd like to have a ...
0
votes
0answers
33 views

state transition in the hydrogen atoms

Weinberg, in Lectures on quantum mechanics (p. 46) mentions that the transition rate for the hydrogen atom to decay from a state $\psi$ to a state $\psi'$ is proportional to $\left|\intop \psi'X\psi\...
3
votes
2answers
302 views

Why can't we harness the energy from neutron + protium = deuteron reaction?

The answer to this physics se question, established that 2.2Mev (Mega electron volts) of energy is emitted as a gamma ray photon when the hydrogen atom nucleus oka protium absorbs a slow moving free ...
0
votes
0answers
17 views

Combined view of water dissociation to hydrogen

Is there a view that combines the effect of temperature and pressure on water (phase diagram) and the additional effect when added energy/ionization via EM-waves (sound, optical, microwave,infrared) ...
0
votes
2answers
97 views

Hydrogen in a box

I would like to approximate the 1S wave function of a system constrained to a box $\{(x,y,z)|x\in[0,a],y\in[0,b],z\in[0,c]\}$, subject to the potential of the hydrogen atom. I have proposed the ...
5
votes
2answers
556 views

Proof of Orthogonality of Hydrogen Atom Wave Functions

How can one formally prove the orthogonality of hydrogen atom wave functions? I understand how the angular part is orthogonal, and I know that the radial part is orthogonal iff the quantum number $l$ ...
0
votes
1answer
76 views

What happens if the bound electron of hydrogen atom gains kinetic energy exceeds binding energy?

Say a hydrogen atom is accelerated so that both the nucleus and the bound electron gains kinetic energy exceeding it's electron binding energy, yes I know an hydrogen atom with 1 proton, 1 neutron and ...
0
votes
1answer
215 views

What are the boundary conditions for the electron in a hydrogen atom?

From what I understand, the wave equation for an electron can be constructed using the "particle in a box" model in three dimensions. However, what would be the boundary conditions in this case? In ...
0
votes
1answer
59 views

How many different types of energy can a particle have? [closed]

I was just wondering if somebody could tell me if my reasoning here is correct: An atom or molecule as a whole can have three types of energy: translational, rotational, and vibrational. If the atom ...
1
vote
2answers
223 views

Hydrogen Atom Angular Momentum

It is stated in "Modern Physics" by Tipler and Llewellyn (pp. 284-285) when discussing the quantum numbers of the Hydrogen atom: Note the perhaps unexpected result that the angular momentum vector ...
1
vote
0answers
99 views

GNS construction for the Schrödinger's hydrogen atom

Does anybody know if the H-atom (no spin, no special relativity) has been treated in the literature starting from the axioms of QM by I.E. Segal? These axioms are: We call a structure $\frak{A}$ ...
1
vote
1answer
212 views

Rydberg constant

I derived the Rydberg constant with the help of Bohr model but I read on the internet that we have to assume the mass of nucleus to be infinitely larger than the electron's. However, I got the answer ...