Recent content by anuttarasammyak

Thank you for your reply. Point 2 of post #1 was pointless, so I withdraw it.

Let me confirm for my understanding. Even in the 1s state of exotic hydrogen atom consisting of proton and muon, does muon not collapse due to its no proper time? If it collapses, won't the long-life effect of motion take place ?

Addeentum to 1 of post #1 on proper time in quantum mechanics : Consider a double-slit experiment with an electron beam at fixed accelerating voltage. Suppose that each electron carries its own clock and reads the time when it is just before the slits and again when it hits the screen. The...

[Mentors’ note: Spun off from this thread] I understand that you are interested in the concept of time in quantum mechanics. Here are examples of my questions, in case they may be of reference. １.How can one calculate the proper time of an electron in the 1s orbital of a hydrogen atom? How...

Re:#2 2.1 When the rolls heve mass and inertia of rotation $$r_1=r, M_1, I_1$$ $$r_2,M_2, I_2$$ The additional term to Lagrangian is $$[(M_1+M_2)r^2+I_1+\frac{r^2}{r_2^2}I_2]\ \frac{\dot{\theta}^2}{2}$$ which reduces ##\ddot{d}##. From this result I think of amending 1 for rolls with mass...

Thank you for a nice list. Looking at this list, I realized that thermodynamic time may be the only one that cannot be defined quantitatively. For example, is it possible to define one second of thermodynamic time?

My bad. I confused translational with horizontal translational.

The drop of the slab releases potential energy which enhances kinetic energy. The perpendicular component of the slab displacement should be considered as well as the horizontal component.

I would try some math. 1. I observe that angle ##\alpha## does not change during the motion but the slab moves with NOT purely (horizontal, I would add. See my post #6. ) translational motion.　Displacement d of the slab, which has horizontal and perpendicular components, is...

Because by ##\lambda## you got $$ f_r=\frac{v}{\lambda} $$ 0.86 m is for ##u_s=0##, a parked car, which is larger than 0.76m which is for in front of the moving car.

If B performs a measurement, there is no doubt that this constitutes an event. However, in the situation under consideration, B does not perform any measurement, and the collapse of B’s state is only attributions made by A and all the observers of A's measurement nearby in oher IFRs...

By the hint $$<L_x>=<L_y>=0$$ $$<L_z>=l\hbar$$

Here, I assume that all inertial frames agree that the collapse occurs when the reading of clock B is the smallest, namely at T−L/c. This is consistent with the viewpoint of each inertial frame in the sense that, in every frame, B is in the collapsed state only afterward (although the...

The first law of thermodynamics : dU=dQ-dW Energy can be supplied not only as work dW, which may originate from conservative forces, but also as heat dQ which depends on procedure. State equation of gas : f(p,V,T)=0 ##f(p_1,V,T_1)=f(p_2,V,T_2)=0## Same volume but different pressure means...

What path dependency do you find in this case? I am not sure of it.